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157189003040 = 2552365964817
BaseRepresentation
bin1001001001100100110…
…0011101011100100000
3120000201202211201002102
42102121030131130200
510033410341044130
6200113413505532
714233201323536
oct2223114353440
9500652751072
10157189003040
1160733104583
122656a3422a8
1311a90a8c104
14787246a156
15414ecce645
hex249931d720

157189003040 has 96 divisors (see below), whose sum is σ = 388099071360. Its totient is φ = 60049690624.

The previous prime is 157189003009. The next prime is 157189003057. The reversal of 157189003040 is 40300981751.

It is a junction number, because it is equal to n+sod(n) for n = 157189002985 and 157189003003.

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, 2392712 + ... + 2457528.

It is an arithmetic number, because the mean of its divisors is an integer number (4042698660).

Almost surely, 2157189003040 is an apocalyptic number.

157189003040 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 157189003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194049535680).

157189003040 is an abundant number, since it is smaller than the sum of its proper divisors (230910068320).

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

157189003040 is a wasteful number, since it uses less digits than its factorization.

157189003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65514 (or 65506 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

Adding to 157189003040 its reverse (40300981751), we get a palindrome (197489984791).

The spelling of 157189003040 in words is "one hundred fifty-seven billion, one hundred eighty-nine million, three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 659 736 920 1318 1840 2636 3295 3680 5272 6590 10544 13180 15157 21088 26360 30314 52720 60628 64817 75785 105440 121256 129634 151570 242512 259268 303140 324085 485024 518536 606280 648170 1037072 1212560 1296340 1490791 2074144 2425120 2592680 2981582 5185360 5963164 7453955 10370720 11926328 14907910 23852656 29815820 42714403 47705312 59631640 85428806 119263280 170857612 213572015 238526560 341715224 427144030 683430448 854288060 982431269 1366860896 1708576120 1964862538 3417152240 3929725076 4912156345 6834304480 7859450152 9824312690 15718900304 19648625380 31437800608 39297250760 78594501520 157189003040