Search a number
-
+
62434080040 = 2354171536191
BaseRepresentation
bin111010001001010111…
…000111010100101000
312222011010201212211211
4322021113013110220
52010331111030130
644403135002504
74340113631653
oct721127072450
9188133655754
1062434080040
1124529457462
1210125069434
135b6cb18c37
143043c6489a
1519562aba2a
hexe895c7528

62434080040 has 64 divisors (see below), whose sum is σ = 145930014720. Its totient is φ = 24021312000.

The previous prime is 62434080001. The next prime is 62434080043. The reversal of 62434080040 is 4008043426.

It is a super-2 number, since 2×624340800402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 62434079984 and 62434080011.

It is not an unprimeable number, because it can be changed into a prime (62434080043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 151656 + ... + 384535.

It is an arithmetic number, because the mean of its divisors is an integer number (2280156480).

Almost surely, 262434080040 is an apocalyptic number.

It is an amenable number.

62434080040 is an abundant number, since it is smaller than the sum of its proper divisors (83495934680).

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

62434080040 is a wasteful number, since it uses less digits than its factorization.

62434080040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536314 (or 536310 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 62434080040 in words is "sixty-two billion, four hundred thirty-four million, eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 71 82 142 164 205 284 328 355 410 568 710 820 1420 1640 2840 2911 5822 11644 14555 23288 29110 58220 116440 536191 1072382 2144764 2680955 4289528 5361910 10723820 21447640 21983831 38069561 43967662 76139122 87935324 109919155 152278244 175870648 190347805 219838310 304556488 380695610 439676620 761391220 879353240 1522782440 1560852001 3121704002 6243408004 7804260005 12486816008 15608520010 31217040020 62434080040