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23420144102432 = 2571175112656363
BaseRepresentation
bin1010101001100111011010…
…10111101010110000100000
310001220221111002222120201112
411110303231113222300200
511032203423342234212
6121451022103522452
74635023001151430
oct524635527526040
9101827432876645
1023420144102432
11750a477869450
122762b92a59428
13100b6829422bc
145ad7807d02c0
152a9329706422
hex154ced5eac20

23420144102432 has 96 divisors (see below), whose sum is σ = 57562358482944. Its totient is φ = 9112580640000.

The previous prime is 23420144102351. The next prime is 23420144102441.

It is a happy number.

23420144102432 is nontrivially palindromic in base 10.

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

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, 4477718 + ... + 8178645.

It is an arithmetic number, because the mean of its divisors is an integer number (599607900864).

Almost surely, 223420144102432 is an apocalyptic number.

23420144102432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23420144102432 is an abundant number, since it is smaller than the sum of its proper divisors (34142214380512).

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

23420144102432 is a wasteful number, since it uses less digits than its factorization.

23420144102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12657142 (or 12657134 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 2342014 and 4102432, that added together give a palindrome (6444446).

The spelling of 23420144102432 in words is "twenty-three trillion, four hundred twenty billion, one hundred forty-four million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 751 1232 1502 2464 3004 5257 6008 8261 10514 12016 16522 21028 24032 33044 42056 57827 66088 84112 115654 132176 168224 231308 264352 462616 925232 1850464 12656363 25312726 50625452 88594541 101250904 139219993 177189082 202501808 278439986 354378164 405003616 556879972 708756328 974539951 1113759944 1417512656 1949079902 2227519888 2835025312 3898159804 4455039776 7796319608 9504928613 15592639216 19009857226 31185278432 38019714452 66534500291 76039428904 104554214743 133069000582 152078857808 209108429486 266138001164 304157715616 418216858972 532276002328 731879503201 836433717944 1064552004656 1463759006402 1672867435888 2129104009312 2927518012804 3345734871776 5855036025608 11710072051216 23420144102432