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40012012111440 = 24352233891921873
BaseRepresentation
bin10010001100100000001011…
…10001001100011001010000
312020200002222220211111102210
421012100011301030121100
520221024100100031230
6221033133053312120
711266525650232545
oct1106200561143120
9166602886744383
1040012012111440
1111826aa97a91a6
1245a2719a95640
1319431690acc05
149c483d96abcc
15495c0e580eb0
hex246405c4c650

40012012111440 has 160 divisors (see below), whose sum is σ = 124913815004160. Its totient is φ = 10594711461888.

The previous prime is 40012012111429. The next prime is 40012012111451. The reversal of 40012012111440 is 4411121021004.

It is an interprime number because it is at equal distance from previous prime (40012012111429) and next prime (40012012111451).

It is a super-2 number, since 2×400120121114402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19858344 + ... + 21780216.

It is an arithmetic number, because the mean of its divisors is an integer number (780711343776).

Almost surely, 240012012111440 is an apocalyptic number.

40012012111440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40012012111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62456907502080).

40012012111440 is an abundant number, since it is smaller than the sum of its proper divisors (84901802892720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40012012111440 is a wasteful number, since it uses less digits than its factorization.

40012012111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922501 (or 1922495 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 40012012111440 its reverse (4411121021004), we get a palindrome (44423133132444).

The spelling of 40012012111440 in words is "forty trillion, twelve billion, twelve million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 389 446 669 778 892 1115 1167 1338 1556 1784 1945 2230 2334 2676 3112 3345 3568 3890 4460 4668 5352 5835 6224 6690 7780 8920 9336 10704 11670 13380 15560 17840 18672 23340 26760 31120 46680 53520 86747 93360 173494 260241 346988 433735 520482 693976 867470 1040964 1301205 1387952 1734940 1921873 2081928 2602410 3469880 3843746 4163856 5204820 5765619 6939760 7687492 9609365 10409640 11531238 15374984 19218730 20819280 23062476 28828095 30749968 38437460 46124952 57656190 76874920 92249904 115312380 153749840 230624760 428577679 461249520 747608597 857155358 1285733037 1495217194 1714310716 2142888395 2242825791 2571466074 2990434388 3428621432 3738042985 4285776790 4485651582 5142932148 5980868776 6428665185 6857242864 7476085970 8571553580 8971303164 10285864296 11214128955 11961737552 12857330370 14952171940 17143107160 17942606328 20571728592 22428257910 25714660740 29904343880 34286214320 35885212656 44856515820 51429321480 59808687760 89713031640 102858642960 166716717131 179426063280 333433434262 500150151393 666866868524 833583585655 1000300302786 1333733737048 1667167171310 2000600605572 2500750756965 2667467474096 3334334342620 4001201211144 5001501513930 6668668685240 8002402422288 10003003027860 13337337370480 20006006055720 40012012111440