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38314021284 = 2232711219411613
BaseRepresentation
bin100011101011101100…
…011001000110100100
310122220011120221111100
4203223230121012210
51111431342140114
625333510240100
72524312543650
oct435354310644
9118804527440
1038314021284
11152812a2300
127513356030
1337c79a5016
141bd66d5a60
15ee39a2909
hex8ebb191a4

38314021284 has 432 divisors, whose sum is σ = 131270106240. Its totient is φ = 9192268800.

The previous prime is 38314021283. The next prime is 38314021307. The reversal of 38314021284 is 48212041383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38314021283) 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 143 ways as a sum of consecutive naturals, for example, 23752462 + ... + 23754074.

Almost surely, 238314021284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38314021284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65635053120).

38314021284 is an abundant number, since it is smaller than the sum of its proper divisors (92956084956).

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

38314021284 is a wasteful number, since it uses less digits than its factorization.

38314021284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 38314021284 in words is "thirty-eight billion, three hundred fourteen million, twenty-one thousand, two hundred eighty-four".