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38888041440 = 253581016753
BaseRepresentation
bin100100001101111010…
…000110101111100000
310201101011201012010010
4210031322012233200
51114120314311230
625510453404520
72544452620053
oct441572065740
9121334635103
1038888041440
1115546316126
127653639740
1338898a5711
141c4ca38a9a
15102908c9b0
hex90de86be0

38888041440 has 48 divisors (see below), whose sum is σ = 122497332048. Its totient is φ = 10370144256.

The previous prime is 38888041427. The next prime is 38888041441. The reversal of 38888041440 is 4414088883.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38888041440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38888041441) 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 7 ways as a sum of consecutive naturals, for example, 40507897 + ... + 40508856.

It is an arithmetic number, because the mean of its divisors is an integer number (2552027751).

Almost surely, 238888041440 is an apocalyptic number.

38888041440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38888041440 is an abundant number, since it is smaller than the sum of its proper divisors (83609290608).

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

38888041440 is a wasteful number, since it uses less digits than its factorization.

38888041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81016771 (or 81016763 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 38888041440 in words is "thirty-eight billion, eight hundred eighty-eight million, forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 81016753 162033506 243050259 324067012 405083765 486100518 648134024 810167530 972201036 1215251295 1296268048 1620335060 1944402072 2430502590 2592536096 3240670120 3888804144 4861005180 6481340240 7777608288 9722010360 12962680480 19444020720 38888041440