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423023404320324 = 2232193733162151241
BaseRepresentation
bin110000000101111001100111…
…1101111110000011001000100
32001110210122100101100120001100
41200023303033233300121010
5420421303413001222244
64055410134044300100
7155050301211445353
oct14013631757603104
92043718311316040
10423023404320324
111128742445a56a5
123b54092a241630
1315206c22115722
147666628c5799a
1533d8c22281b69
hex180bccfbf0644

423023404320324 has 144 divisors (see below), whose sum is σ = 1077000994114864. Its totient is φ = 139996665446400.

The previous prime is 423023404320263. The next prime is 423023404320359.

423023404320324 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 2 + 3 + 4 + 0 + 4 + 320 + 324 = 666.

423023404320324 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 32266580615424 + 390756823704900 = 5680368^2 + 19767570^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8255539344 + ... + 8255590584.

Almost surely, 2423023404320324 is an apocalyptic number.

It is an amenable number.

423023404320324 is an abundant number, since it is smaller than the sum of its proper divisors (653977589794540).

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

423023404320324 is a wasteful number, since it uses less digits than its factorization.

423023404320324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53798 (or 53793 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 42302340 and 4320324, that added together give a palindrome (46622664).

The spelling of 423023404320324 in words is "four hundred twenty-three trillion, twenty-three billion, four hundred four million, three hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 733 772 1158 1466 1621 1737 2199 2316 2932 3242 3474 4398 4863 6484 6597 6948 8796 9726 13194 14589 19452 26388 29178 51241 58356 102482 141469 153723 204964 282938 307446 312853 424407 461169 565876 614892 625706 848814 922338 938559 1188193 1251412 1273221 1697628 1844676 1877118 2376386 2546442 2815677 3564579 3754236 4752772 5092884 5631354 7129158 9889513 10693737 11262708 14258316 19779026 21387474 29668539 37559653 39558052 42774948 59337078 75119306 83061661 89005617 112678959 118674156 150238612 166123322 178011234 225357918 229321249 249184983 332246644 338036877 356022468 450715836 458642498 498369966 676073754 687963747 747554949 917284996 996739932 1352147508 1375927494 1495109898 2063891241 2751854988 2990219796 4127782482 7249013029 8255564964 14498026058 16030900573 21747039087 28996052116 32061801146 43494078174 48092701719 60884197513 64123602292 65241117261 86988156348 96185403438 121768395026 130482234522 144278105157 182652592539 192370806876 243536790052 260964469044 288556210314 365305185078 547957777617 577112420628 730610370156 1095915555234 2191831110468 11750650120009 23501300240018 35251950360027 47002600480036 70503900720054 105755851080081 141007801440108 211511702160162 423023404320324