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161555723140 = 225731306112161
BaseRepresentation
bin1001011001110101111…
…0001011001110000100
3120110000002121001221111
42112131132023032010
510121331231120030
6202115003454404
714446333663120
oct2263536131604
9513002531844
10161555723140
1162573aa2a69
1227388827404
131230866c266
147b683a0580
15430834262a
hex259d78b384

161555723140 has 96 divisors (see below), whose sum is σ = 400404953088. Its totient is φ = 53581824000.

The previous prime is 161555723137. The next prime is 161555723177. The reversal of 161555723140 is 41327555161.

It is a happy number.

161555723140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1615557231402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161555723093 and 161555723102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13278660 + ... + 13290820.

It is an arithmetic number, because the mean of its divisors is an integer number (4170884928).

Almost surely, 2161555723140 is an apocalyptic number.

161555723140 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 161555723140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200202476544).

161555723140 is an abundant number, since it is smaller than the sum of its proper divisors (238849229948).

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

161555723140 is a wasteful number, since it uses less digits than its factorization.

161555723140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15269 (or 15267 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 161555723140 in words is "one hundred sixty-one billion, five hundred fifty-five million, seven hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 3061 4340 6122 12161 12244 15305 21427 24322 30610 42854 48644 60805 61220 85127 85708 94891 107135 121610 170254 189782 214270 243220 340508 376991 379564 425635 428540 474455 664237 753982 851270 948910 1328474 1507964 1702540 1884955 1897820 2638937 2656948 3321185 3769910 5277874 6642370 7539820 10555748 13194685 13284740 26389370 37224821 52778740 74449642 148899284 186124105 260573747 372248210 521147494 744496420 1042294988 1153969451 1302868735 2307938902 2605737470 4615877804 5211474940 5769847255 8077786157 11539694510 16155572314 23079389020 32311144628 40388930785 80777861570 161555723140