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141225431232 = 2633161338707
BaseRepresentation
bin1000001110000110110…
…0010001000011000000
3111111112020120020101010
42003201230101003000
54303212202244412
6144513355040520
713126461234054
oct2034154210300
9444466506333
10141225431232
115499108a826
1223454140140
131041871ba32
146b9a29bc64
153a185d233c
hex20e1b110c0

141225431232 has 112 divisors (see below), whose sum is σ = 386351670272. Its totient is φ = 45481098240.

The previous prime is 141225431213. The next prime is 141225431267. The reversal of 141225431232 is 232134522141.

It is a happy number.

It is a super-2 number, since 2×1412254312322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141225431232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3629223 + ... + 3667929.

Almost surely, 2141225431232 is an apocalyptic number.

141225431232 is a gapful number since it is divisible by the number (12) 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 141225431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193175835136).

141225431232 is an abundant number, since it is smaller than the sum of its proper divisors (245126239040).

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

141225431232 is a wasteful number, since it uses less digits than its factorization.

141225431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39366 (or 39356 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 141225431232 its reverse (232134522141), we get a palindrome (373359953373).

Subtracting 141225431232 from its reverse (232134522141), we obtain a palindrome (90909090909).

The spelling of 141225431232 in words is "one hundred forty-one billion, two hundred twenty-five million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 613 744 992 1226 1488 1839 1984 2452 2976 3678 4904 5952 7356 9808 14712 19003 19616 29424 38006 38707 39232 57009 58848 76012 77414 114018 116121 117696 152024 154828 228036 232242 304048 309656 456072 464484 608096 619312 912144 928968 1199917 1216192 1238624 1824288 1857936 2399834 2477248 3599751 3648576 3715872 4799668 7199502 7431744 9599336 14399004 19198672 23727391 28798008 38397344 47454782 57596016 71182173 76794688 94909564 115192032 142364346 189819128 230384064 284728692 379638256 569457384 735549121 759276512 1138914768 1471098242 1518553024 2206647363 2277829536 2942196484 4413294726 4555659072 5884392968 8826589452 11768785936 17653178904 23537571872 35306357808 47075143744 70612715616 141225431232