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115477842040 = 235111959234121
BaseRepresentation
bin110101110001100000…
…1000000100001111000
3102001001211221011222121
41223203001000201320
53342444311421130
6125014430531024
711225435314261
oct1534301004170
9361054834877
10115477842040
1144a7925a9a0
121a469366a74
13ab74353162
14583690d968
15300ce8bd7a
hex1ae3040878

115477842040 has 128 divisors (see below), whose sum is σ = 303422112000. Its totient is φ = 39107404800.

The previous prime is 115477842023. The next prime is 115477842091. The reversal of 115477842040 is 40248774511.

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, 376180 + ... + 610300.

It is an arithmetic number, because the mean of its divisors is an integer number (2370485250).

Almost surely, 2115477842040 is an apocalyptic number.

115477842040 is a gapful number since it is divisible by the number (10) 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 115477842040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151711056000).

115477842040 is an abundant number, since it is smaller than the sum of its proper divisors (187944269960).

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

115477842040 is a wasteful number, since it uses less digits than its factorization.

115477842040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234221 (or 234217 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 43.

It can be divided in two parts, 11547 and 7842040, that added together give a palindrome (7853587).

The spelling of 115477842040 in words is "one hundred fifteen billion, four hundred seventy-seven million, eight hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 59 76 88 95 110 118 152 190 209 220 236 295 380 418 440 472 590 649 760 836 1045 1121 1180 1298 1672 2090 2242 2360 2596 3245 4180 4484 5192 5605 6490 8360 8968 11210 12331 12980 22420 24662 25960 44840 49324 61655 98648 123310 234121 246620 468242 493240 936484 1170605 1872968 2341210 2575331 4448299 4682420 5150662 8896598 9364840 10301324 12876655 13813139 17793196 20602648 22241495 25753310 27626278 35586392 44482990 48931289 51506620 55252556 69065695 88965980 97862578 103013240 110505112 138131390 151944529 177931960 195725156 244656445 262449641 276262780 303889058 391450312 489312890 524899282 552525560 607778116 759722645 978625780 1049798564 1215556232 1312248205 1519445290 1957251560 2099597128 2624496410 2886946051 3038890580 5248992820 5773892102 6077781160 10497985640 11547784204 14434730255 23095568408 28869460510 57738921020 115477842040