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145520431320 = 233511110242751
BaseRepresentation
bin1000011110000110110…
…0011001000011011000
3111220121120100211212110
42013201230121003120
54341011212300240
6150503503512320
713341063154155
oct2074154310330
9456546324773
10145520431320
1156795542980
12242525b86a0
13109514aa4c4
14708688322c
153bba6c9c80
hex21e1b190d8

145520431320 has 64 divisors (see below), whose sum is σ = 476248688640. Its totient is φ = 35277680000.

The previous prime is 145520431319. The next prime is 145520431321. The reversal of 145520431320 is 23134025541.

It is an interprime number because it is at equal distance from previous prime (145520431319) and next prime (145520431321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145520431321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55120056 + ... + 55122695.

It is an arithmetic number, because the mean of its divisors is an integer number (7441385760).

Almost surely, 2145520431320 is an apocalyptic number.

145520431320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145520431320 is an abundant number, since it is smaller than the sum of its proper divisors (330728257320).

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

145520431320 is a wasteful number, since it uses less digits than its factorization.

145520431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110242776 (or 110242772 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 145520431320 its reverse (23134025541), we get a palindrome (168654456861).

The spelling of 145520431320 in words is "one hundred forty-five billion, five hundred twenty million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 110242751 220485502 330728253 440971004 551213755 661456506 881942008 1102427510 1212670261 1322913012 1653641265 2204855020 2425340522 2645826024 3307282530 3638010783 4409710040 4850681044 6063351305 6614565060 7276021566 9701362088 12126702610 13229130120 14552043132 18190053915 24253405220 29104086264 36380107830 48506810440 72760215660 145520431320