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23513234144 = 2523312334423
BaseRepresentation
bin10101111001011111…
…110111101011100000
32020200200022001110212
4111321133313223200
5341123341443034
614445110113252
71461452123021
oct257137675340
966620261425
1023513234144
119a76675914
12468264b828
1322a94c8bca
1411d0b2ac48
159293de2ce
hex5797f7ae0

23513234144 has 96 divisors (see below), whose sum is σ = 50087890944. Its totient is φ = 10833546240.

The previous prime is 23513234137. The next prime is 23513234159. The reversal of 23513234144 is 44143231532.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 23513234144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5313917 + ... + 5318339.

It is an arithmetic number, because the mean of its divisors is an integer number (521748864).

Almost surely, 223513234144 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 23513234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043945472).

23513234144 is an abundant number, since it is smaller than the sum of its proper divisors (26574656800).

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

23513234144 is a wasteful number, since it uses less digits than its factorization.

23513234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720 (or 4712 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

Adding to 23513234144 its reverse (44143231532), we get a palindrome (67656465676).

The spelling of 23513234144 in words is "twenty-three billion, five hundred thirteen million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 233 248 368 466 496 713 736 932 992 1426 1864 2852 3728 4423 5359 5704 7223 7456 8846 10718 11408 14446 17692 21436 22816 28892 35384 42872 57784 70768 85744 101729 115568 137113 141536 166129 171488 203458 231136 274226 332258 406916 548452 664516 813832 1030559 1096904 1329032 1627664 2061118 2193808 2658064 3153599 3255328 4122236 4387616 5316128 6307198 8244472 12614396 16488944 23702857 25228792 31947329 32977888 47405714 50457584 63894658 94811428 100915168 127789316 189622856 255578632 379245712 511157264 734788567 758491424 1022314528 1469577134 2939154268 5878308536 11756617072 23513234144