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420135666640 = 245311168114503
BaseRepresentation
bin1100001110100100000…
…10011000001111010000
31111011102222101012212221
412013102002120033100
523340414212313030
6521001353230424
742232232146324
oct6072202301720
91434388335787
10420135666640
111521a66a3808
1269512702414
1330807166aa1
14164984c1984
15adde511e7a
hex61d20983d0

420135666640 has 80 divisors (see below), whose sum is σ = 1008481453056. Its totient is φ = 162608025600.

The previous prime is 420135666581. The next prime is 420135666647. The reversal of 420135666640 is 46666531024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420135666647) 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, 28961629 + ... + 28976131.

Almost surely, 2420135666640 is an apocalyptic number.

420135666640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420135666640 is an abundant number, since it is smaller than the sum of its proper divisors (588345786416).

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

420135666640 is a wasteful number, since it uses less digits than its factorization.

420135666640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26228 (or 26222 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 420135666640 in words is "four hundred twenty billion, one hundred thirty-five million, six hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 11681 14503 23362 29006 46724 58012 58405 72515 93448 116024 116810 145030 186896 232048 233620 290060 362111 449593 467240 580120 724222 899186 934480 1160240 1448444 1798372 1810555 2247965 2896888 3596744 3621110 4495930 5793776 7193488 7242220 8991860 14484440 17983720 28968880 35967440 169409543 338819086 677638172 847047715 1355276344 1694095430 2710552688 3388190860 5251695833 6776381720 10503391666 13552763440 21006783332 26258479165 42013566664 52516958330 84027133328 105033916660 210067833320 420135666640