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23434015420144 = 247237807846643
BaseRepresentation
bin1010101010000001010000…
…01010100010111011110000
310001222021021211022112101101
411111000220022202323300
511032420330421421034
6121501234342214144
74636023514335100
oct525005012427360
9101867254275341
1023434015420144
11751534586578a
122765804424354
13100ca836a73c4
145b02d8b6b200
152a988c3bb514
hex1550282a2ef0

23434015420144 has 60 divisors (see below), whose sum is σ = 54243670758024. Its totient is φ = 9771712981632.

The previous prime is 23434015420133. The next prime is 23434015420147. The reversal of 23434015420144 is 44102451043432.

It is a happy number.

23434015420144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434015420147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403894314 + ... + 403952329.

Almost surely, 223434015420144 is an apocalyptic number.

It is an amenable number.

23434015420144 is an abundant number, since it is smaller than the sum of its proper divisors (30809655337880).

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

23434015420144 is a wasteful number, since it uses less digits than its factorization.

23434015420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807846702 (or 807846689 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 23434015420144 its reverse (44102451043432), we get a palindrome (67536466463576).

The spelling of 23434015420144 in words is "twenty-three trillion, four hundred thirty-four billion, fifteen million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1813 2072 3626 4144 7252 14504 29008 807846643 1615693286 3231386572 5654926501 6462773144 11309853002 12925546288 22619706004 29890325791 39584485507 45239412008 59780651582 79168971014 90478824016 119561303164 158337942028 209232280537 239122606328 316675884056 418464561074 478245212656 633351768112 836929122148 1464625963759 1673858244296 2929251927518 3347716488592 5858503855036 11717007710072 23434015420144