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34401512145 = 35711132291143
BaseRepresentation
bin100000000010011111…
…010110101011010001
310021210111111212221110
4200002133112223101
51030423241342040
623445343443533
72325334012530
oct400237265321
9107714455843
1034401512145
1113653836280
126800bb65a9
133323237460
141944c38317
15d65260980
hex8027d6ad1

34401512145 has 64 divisors (see below), whose sum is σ = 73903140864. Its totient is φ = 13196977920.

The previous prime is 34401512099. The next prime is 34401512177. The reversal of 34401512145 is 54121510443.

It is not a de Polignac number, because 34401512145 - 27 = 34401512017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130557 + ... + 1160586.

It is an arithmetic number, because the mean of its divisors is an integer number (1154736576).

Almost surely, 234401512145 is an apocalyptic number.

34401512145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34401512145 is an abundant number, since it is smaller than the sum of its proper divisors (39501628719).

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

34401512145 is a wasteful number, since it uses less digits than its factorization.

34401512145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291182.

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 34401512145 in words is "thirty-four billion, four hundred one million, five hundred twelve thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 165 195 231 273 385 429 455 715 1001 1155 1365 2145 3003 5005 15015 2291143 6873429 11455715 16038001 25202573 29784859 34367145 48114003 75607719 80190005 89354577 126012865 148924295 176418011 208494013 240570015 327633449 378038595 446772885 529254033 625482039 882090055 982900347 1042470065 1638167245 2293434143 2646270165 3127410195 4914501735 6880302429 11467170715 34401512145