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23402001440 = 255178603677
BaseRepresentation
bin10101110010110111…
…100011010000100000
32020101220222211220002
4111302313203100200
5340411403021230
614430054035132
71455631505306
oct256267432040
966356884802
1023402001440
119a19902064
124651348aa8
13228c45173c
1411c0054276
1591e76b545
hex572de3420

23402001440 has 48 divisors (see below), whose sum is σ = 58539425112. Its totient is φ = 8810164224.

The previous prime is 23402001437. The next prime is 23402001527. The reversal of 23402001440 is 4410020432.

It can be written as a sum of positive squares in 4 ways, for example, as 20537182864 + 2864818576 = 143308^2 + 53524^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4299119 + ... + 4304558.

Almost surely, 223402001440 is an apocalyptic number.

23402001440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23402001440 is an abundant number, since it is smaller than the sum of its proper divisors (35137423672).

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

23402001440 is a wasteful number, since it uses less digits than its factorization.

23402001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8603709 (or 8603701 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 23402001440 its reverse (4410020432), we get a palindrome (27812021872).

The spelling of 23402001440 in words is "twenty-three billion, four hundred two million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 8603677 17207354 34414708 43018385 68829416 86036770 137658832 146262509 172073540 275317664 292525018 344147080 585050036 688294160 731312545 1170100072 1376588320 1462625090 2340200144 2925250180 4680400288 5850500360 11701000720 23402001440