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38401144451148 = 22313009245990881
BaseRepresentation
bin10001011101100111101101…
…00100101111000001001100
312000222010001210010200011210
420232303312210233001030
520013131020434414043
6213401124153014420
711042251105106643
oct1056636644570114
9160863053120153
1038401144451148
1111265919a21786
1243824956b4410
13185729b7b6c6b
1496a8a7bbc35a
15468d7dd4e633
hex22ecf692f04c

38401144451148 has 24 divisors (see below), whose sum is σ = 89609558494960. Its totient is φ = 12799397468160.

The previous prime is 38401144451123. The next prime is 38401144451227. The reversal of 38401144451148 is 84115444110483.

38401144451148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38401144451097 and 38401144451106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122839333 + ... + 123151548.

Almost surely, 238401144451148 is an apocalyptic number.

It is an amenable number.

38401144451148 is an abundant number, since it is smaller than the sum of its proper divisors (51208414043812).

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

38401144451148 is a wasteful number, since it uses less digits than its factorization.

38401144451148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246003897 (or 246003895 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 38401144451148 in words is "thirty-eight trillion, four hundred one billion, one hundred forty-four million, four hundred fifty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13009 26018 39027 52036 78054 156108 245990881 491981762 737972643 983963524 1475945286 2951890572 3200095370929 6400190741858 9600286112787 12800381483716 19200572225574 38401144451148