Search a number
-
+
155774232610140 = 223523671684774309
BaseRepresentation
bin100011011010110100000011…
…110011001100010101011100
3202102112212112002211122000210
4203122310003303030111130
5130404201112022011030
61311145410004252420
744545213462132134
oct4332640363142534
9672485462748023
10155774232610140
11456a85323120a1
121557a10b3a1110
1368bc5a739a4a1
142a67727ca3ac4
1513020a2bdabb0
hex8dad03ccc55c

155774232610140 has 96 divisors (see below), whose sum is σ = 461924681218560. Its totient is φ = 39140676723456.

The previous prime is 155774232610109. The next prime is 155774232610189. The reversal of 155774232610140 is 41016232477551.

It is a happy number.

It is a super-2 number, since 2×1557742326101402 (a number of 29 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 155774232610140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 842294695 + ... + 842479614.

It is an arithmetic number, because the mean of its divisors is an integer number (4811715429360).

Almost surely, 2155774232610140 is an apocalyptic number.

155774232610140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155774232610140 is an abundant number, since it is smaller than the sum of its proper divisors (306150448608420).

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

155774232610140 is a wasteful number, since it uses less digits than its factorization.

155774232610140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684774411 (or 1684774409 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 155774232610140 in words is "one hundred fifty-five trillion, seven hundred seventy-four billion, two hundred thirty-two million, six hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 67 69 92 115 134 138 201 230 268 276 335 345 402 460 670 690 804 1005 1340 1380 1541 2010 3082 4020 4623 6164 7705 9246 15410 18492 23115 30820 46230 92460 1684774309 3369548618 5054322927 6739097236 8423871545 10108645854 16847743090 20217291708 25271614635 33695486180 38749809107 50543229270 77499618214 101086458540 112879878703 116249427321 154999236428 193749045535 225759757406 232498854642 338639636109 387498091070 451519514812 464997709284 564399393515 581247136605 677279272218 774996182140 1128798787030 1162494273210 1354558544436 1693198180545 2257597574060 2324988546420 2596237210169 3386396361090 5192474420338 6772792722180 7788711630507 10384948840676 12981186050845 15577423261014 25962372101690 31154846522028 38943558152535 51924744203380 77887116305070 155774232610140