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127417410940 = 225173131197307
BaseRepresentation
bin111011010101010101…
…0110110010101111100
3110011212221100010110011
41312222222312111330
54041422324122230
6134311301153004
712130344060121
oct1665252662574
9404787303404
10127417410940
114a045896806
122083b9bb764
13c027b19721
14624a4ba748
1534ab271e2a
hex1daaab657c

127417410940 has 48 divisors (see below), whose sum is σ = 284221762272. Its totient is φ = 47815612416.

The previous prime is 127417410871. The next prime is 127417410943. The reversal of 127417410940 is 49014714721.

It is a super-2 number, since 2×1274174109402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127417410893 and 127417410902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127417410943) 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, 492234 + ... + 705073.

It is an arithmetic number, because the mean of its divisors is an integer number (5921286714).

Almost surely, 2127417410940 is an apocalyptic number.

127417410940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127417410940 is an abundant number, since it is smaller than the sum of its proper divisors (156804351332).

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

127417410940 is a wasteful number, since it uses less digits than its factorization.

127417410940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197646 (or 1197644 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 127417410940 in words is "one hundred twenty-seven billion, four hundred seventeen million, four hundred ten thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 313 340 626 1252 1565 3130 5321 6260 10642 21284 26605 53210 106420 1197307 2394614 4789228 5986535 11973070 20354219 23946140 40708438 81416876 101771095 203542190 374757091 407084380 749514182 1499028364 1873785455 3747570910 6370870547 7495141820 12741741094 25483482188 31854352735 63708705470 127417410940