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424231001403432 = 233296778671156403
BaseRepresentation
bin110000001110101011111101…
…0001001000011000000101000
32001122002002100220022110212020
41200131113322021003000220
5421101100042324402212
64102133010452544440
7155233451456340636
oct14035277211030050
92048062326273766
10424231001403432
1111319a3a2681773
123b6b6988022120
1315293a72620382
1476a8c66326356
15340a34ddc9d8c
hex181d5fa243028

424231001403432 has 128 divisors (see below), whose sum is σ = 1113667008652800. Its totient is φ = 134479080223488.

The previous prime is 424231001403431. The next prime is 424231001403449. The reversal of 424231001403432 is 234304100132424.

It is a junction number, because it is equal to n+sod(n) for n = 424231001403393 and 424231001403402.

It is not an unprimeable number, because it can be changed into a prime (424231001403431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366275743 + ... + 367432145.

It is an arithmetic number, because the mean of its divisors is an integer number (8700523505100).

Almost surely, 2424231001403432 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 424231001403432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556833504326400).

424231001403432 is an abundant number, since it is smaller than the sum of its proper divisors (689436007249368).

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

424231001403432 is a wasteful number, since it uses less digits than its factorization.

424231001403432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164375 (or 1164371 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 424231001403432 its reverse (234304100132424), we get a palindrome (658535101535856).

The spelling of 424231001403432 in words is "four hundred twenty-four trillion, two hundred thirty-one billion, one million, four hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 67 87 116 134 174 201 232 268 348 402 536 696 804 1608 1943 3886 5829 7772 7867 11658 15544 15734 23316 23601 31468 46632 47202 62936 94404 188808 228143 456286 527089 684429 912572 1054178 1156403 1368858 1581267 1825144 2108356 2312806 2737716 3162534 3469209 4216712 4625612 5475432 6325068 6938418 9251224 12650136 13876836 15285581 27753672 30571162 33535687 45856743 61142324 67071374 77479001 91713486 100607061 122284648 134142748 154958002 183426972 201214122 232437003 268285496 309916004 366853944 402428244 464874006 619832008 804856488 929748012 1859496024 2246891029 4493782058 6740673087 8987564116 9097422401 13481346174 17975128232 18194844802 26962692348 27292267203 36389689604 53925384696 54584534406 72779379208 109169068812 218338137624 263825249629 527650499258 609527300867 791475748887 1055300998516 1219054601734 1582951497774 1828581902601 2110601997032 2438109203468 3165902995548 3657163805202 4876218406936 6331805991096 7314327610404 14628655220808 17676291725143 35352583450286 53028875175429 70705166900572 106057750350858 141410333801144 212115500701716 424231001403432