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153235040415040 = 26531111043139109
BaseRepresentation
bin100010110101110111010000…
…001001101010110101000000
3202002120010102102202021022201
4202311313100021222311000
5130041100330321240130
61301523112235242544
744163603102445063
oct4265672011526500
9662503372667281
10153235040415040
1144909685537631
1215229b88ba9454
1367670050bc37c
1429ba8890208da
1512aaedd4acbca
hex8b5dd026ad40

153235040415040 has 112 divisors (see below), whose sum is σ = 376667715202560. Its totient is φ = 59315829258240.

The previous prime is 153235040415019. The next prime is 153235040415049. The reversal of 153235040415040 is 40514040532351.

It is a super-2 number, since 2×1532350404150402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153235040415049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101477006 + ... + 1101616114.

Almost surely, 2153235040415040 is an apocalyptic number.

153235040415040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153235040415040 is an abundant number, since it is smaller than the sum of its proper divisors (223432674787520).

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

153235040415040 is a wasteful number, since it uses less digits than its factorization.

153235040415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250200 (or 250190 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 153235040415040 its reverse (40514040532351), we get a palindrome (193749080947391).

The spelling of 153235040415040 in words is "one hundred fifty-three trillion, two hundred thirty-five billion, forty million, four hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 111043 139109 222086 278218 444172 555215 556436 695545 888344 1110430 1112872 1391090 1776688 2220860 2225744 2782180 3442333 3553376 4312379 4441720 4451488 5564360 6884666 7106752 8624758 8883440 8902976 11128720 13769332 17211665 17249516 17766880 21561895 22257440 27538664 34423330 34499032 35533760 43123790 44514880 55077328 68846660 68998064 86247580 110154656 137693320 137996128 172495160 220309312 275386640 275992256 344990320 550773280 689980640 1101546560 1379961280 15447080687 30894161374 61788322748 77235403435 123576645496 154470806870 247153290992 308941613740 478859501297 494306581984 617883227480 957719002594 988613163968 1235766454960 1915438005188 2394297506485 2471532909920 3830876010376 4788595012970 4943065819840 7661752020752 9577190025940 15323504041504 19154380051880 30647008083008 38308760103760 76617520207520 153235040415040