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141122440 = 23517377179
BaseRepresentation
bin10000110100101…
…01101110001000
3100211112202121001
420122111232020
5242111404230
622000424344
73332343454
oct1032255610
9324482531
10141122440
1172729418
123b3180b4
1323311204
1414a57664
15c5c90ca
hex8695b88

141122440 has 128 divisors (see below), whose sum is σ = 354585600. Its totient is φ = 50319360.

The previous prime is 141122419. The next prime is 141122441. The reversal of 141122440 is 44221141.

It is not an unprimeable number, because it can be changed into a prime (141122441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1786321 + ... + 1786399.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2141122440 is an apocalyptic number.

141122440 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 141122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292800).

141122440 is an abundant number, since it is smaller than the sum of its proper divisors (213463160).

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

141122440 is a wasteful number, since it uses less digits than its factorization.

141122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 141122440 is about 11879.4966223321. The cubic root of 141122440 is about 520.6333997550.

Adding to 141122440 its reverse (44221141), we get a palindrome (185343581).

The spelling of 141122440 in words is "one hundred forty-one million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 71 74 79 85 136 142 148 158 170 185 284 296 316 340 355 370 395 568 629 632 680 710 740 790 1207 1258 1343 1420 1480 1580 2414 2516 2627 2686 2840 2923 3145 3160 4828 5032 5254 5372 5609 5846 6035 6290 6715 9656 10508 10744 11218 11692 12070 12580 13135 13430 14615 21016 22436 23384 24140 25160 26270 26860 28045 29230 44659 44872 48280 49691 52540 53720 56090 58460 89318 95353 99382 105080 112180 116920 178636 190706 198764 207533 223295 224360 248455 357272 381412 397528 415066 446590 476765 496910 762824 830132 893180 953530 993820 1037665 1660264 1786360 1907060 1987640 2075330 3528061 3814120 4150660 7056122 8301320 14112244 17640305 28224488 35280610 70561220 141122440