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424415125128 = 23331254733641
BaseRepresentation
bin1100010110100010001…
…11001101111010001000
31111120111012221020022110
412023101013031322020
523423200233001003
6522550145022320
742443255016561
oct6132107157210
91446435836273
10424415125128
11153aa2301265
126a3079249a0
1331039943547
14167829bd168
15b090089a03
hex62d11cde88

424415125128 has 96 divisors (see below), whose sum is σ = 1098405917280. Its totient is φ = 136653753600.

The previous prime is 424415125111. The next prime is 424415125129. The reversal of 424415125128 is 821521514424.

It is not an unprimeable number, because it can be changed into a prime (424415125129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12599188 + ... + 12632828.

It is an arithmetic number, because the mean of its divisors is an integer number (11441728305).

Almost surely, 2424415125128 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 424415125128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549202958640).

424415125128 is an abundant number, since it is smaller than the sum of its proper divisors (673990792152).

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

424415125128 is a wasteful number, since it uses less digits than its factorization.

424415125128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34259 (or 34224 counting only the distinct ones).

The product of its digits is 102400, while the sum is 39.

The spelling of 424415125128 in words is "four hundred twenty-four billion, four hundred fifteen million, one hundred twenty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 547 744 961 1094 1641 1922 2188 2883 3282 3844 4376 5766 6564 7688 11532 13128 16957 23064 33641 33914 50871 67282 67828 100923 101742 134564 135656 201846 203484 269128 403692 406968 525667 807384 1042871 1051334 1577001 2085742 2102668 3128613 3154002 4171484 4205336 6257226 6308004 8342968 12514452 12616008 18401627 25028904 32329001 36803254 55204881 64658002 73606508 96987003 110409762 129316004 147213016 193974006 220819524 258632008 387948012 441639048 570450437 775896024 1140900874 1711351311 2281801748 3422702622 4563603496 6845405244 13690810488 17683963547 35367927094 53051890641 70735854188 106103781282 141471708376 212207562564 424415125128