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156145926240 = 25325108434671
BaseRepresentation
bin1001000101101100000…
…1011100000001100000
3112221001002002220201100
42101123001130001200
510024241324114430
6155422113034400
714165304321363
oct2213301340140
9487032086640
10156145926240
1160248339537
1226318b55a00
131195594bac5
1477b3b080da
1540dd43e960
hex245b05c060

156145926240 has 72 divisors (see below), whose sum is σ = 532847978208. Its totient is φ = 41638913280.

The previous prime is 156145926161. The next prime is 156145926259. The reversal of 156145926240 is 42629541651.

156145926240 is a `hidden beast` number, since 1 + 5 + 6 + 14 + 5 + 9 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54215896 + ... + 54218775.

It is an arithmetic number, because the mean of its divisors is an integer number (7400666364).

Almost surely, 2156145926240 is an apocalyptic number.

156145926240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

156145926240 is an abundant number, since it is smaller than the sum of its proper divisors (376702051968).

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

156145926240 is a wasteful number, since it uses less digits than its factorization.

156145926240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108434692 (or 108434681 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 156145926240 in words is "one hundred fifty-six billion, one hundred forty-five million, nine hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 108434671 216869342 325304013 433738684 542173355 650608026 867477368 975912039 1084346710 1301216052 1626520065 1734954736 1951824078 2168693420 2602432104 3253040130 3469909472 3903648156 4337386840 4879560195 5204864208 6506080260 7807296312 8674773680 9759120390 10409728416 13012160520 15614592624 17349547360 19518240780 26024321040 31229185248 39036481560 52048642080 78072963120 156145926240