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126114641040 = 2435525477671
BaseRepresentation
bin111010101110100000…
…1001011010010010000
3110001112010221120010010
41311131001023102100
54031240322003130
6133534122234520
712053144522133
oct1653501132220
9401463846103
10126114641040
1149537477473
1220537655a40
13bb7ac51a6b
14616547821a
153431bd60b0
hex1d5d04b490

126114641040 has 40 divisors (see below), whose sum is σ = 390955387968. Its totient is φ = 33630570880.

The previous prime is 126114641039. The next prime is 126114641041. The reversal of 126114641040 is 40146411621.

It is an interprime number because it is at equal distance from previous prime (126114641039) and next prime (126114641041).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 126114640989 and 126114641007.

It is not an unprimeable number, because it can be changed into a prime (126114641041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262738596 + ... + 262739075.

Almost surely, 2126114641040 is an apocalyptic number.

126114641040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126114641040 is an abundant number, since it is smaller than the sum of its proper divisors (264840746928).

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

126114641040 is a wasteful number, since it uses less digits than its factorization.

126114641040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525477687 (or 525477681 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 126114641040 in words is "one hundred twenty-six billion, one hundred fourteen million, six hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 525477671 1050955342 1576433013 2101910684 2627388355 3152866026 4203821368 5254776710 6305732052 7882165065 8407642736 10509553420 12611464104 15764330130 21019106840 25222928208 31528660260 42038213680 63057320520 126114641040