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155342334002440 = 235131813917421361
BaseRepresentation
bin100011010100100001110100…
…101000110000010100001000
3202101000120201100102002112011
4203110201310220300110020
5130330112100001034230
61310215141050225304
744502053564421634
oct4324416450602410
9671016640362464
10155342334002440
114555134a8616a2
121550a475425234
13688a947230160
142a50875471dc4
1512e5c25b82e2a
hex8d4874a30508

155342334002440 has 128 divisors (see below), whose sum is σ = 378583543185120. Its totient is φ = 57025581465600.

The previous prime is 155342334002327. The next prime is 155342334002497. The reversal of 155342334002440 is 44200433243551.

It can be written as a sum of positive squares in 16 ways, for example, as 5899972988196 + 149442361014244 = 2428986^2 + 12224662^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 155342334002393 and 155342334002402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368457360 + ... + 368878720.

Almost surely, 2155342334002440 is an apocalyptic number.

155342334002440 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 155342334002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189291771592560).

155342334002440 is an abundant number, since it is smaller than the sum of its proper divisors (223241209182680).

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

155342334002440 is a wasteful number, since it uses less digits than its factorization.

155342334002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425483 (or 425479 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 155342334002440 its reverse (44200433243551), we get a palindrome (199542767245991).

The spelling of 155342334002440 in words is "one hundred fifty-five trillion, three hundred forty-two billion, three hundred thirty-four million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 181 260 362 520 724 905 1448 1810 2353 3620 3917 4706 7240 7834 9412 11765 15668 18824 19585 23530 31336 39170 47060 50921 78340 94120 101842 156680 203684 254605 407368 421361 509210 708977 842722 1018420 1417954 1685444 2036840 2106805 2835908 3370888 3544885 4213610 5477693 5671816 7089770 8427220 9216701 10955386 14179540 16854440 18433402 21910772 27388465 28359080 36866804 43821544 46083505 54776930 73733608 76266341 92167010 109553860 152532682 184334020 219107720 305065364 368668040 381331705 610130728 762663410 991462433 1525326820 1650471037 1982924866 3050653640 3300942074 3965849732 4957312165 6601884148 7931699464 8252355185 9914624330 13203768296 16504710370 19829248660 21456123481 33009420740 39658497320 42912246962 66018841480 85824493924 107280617405 171648987848 214561234810 298735257697 429122469620 597470515394 858244939240 1194941030788 1493676288485 2389882061576 2987352576970 3883558350061 5974705153940 7767116700122 11949410307880 15534233400244 19417791750305 31068466800488 38835583500610 77671167001220 155342334002440