Search a number
-
+
322006541421042 = 232374314975463291
BaseRepresentation
bin100100100110111001111110…
…1100001000100100111110010
31120020010112011112002120012100
41021031303331201010213302
5314201223344100433132
63100503432444441230
7124553130164256312
oct11115637541044762
91506115145076170
10322006541421042
1193668230a36835
1230147037249216
1310a8a11824434a
1459732b220b442
1527361e0b0637c
hex124dcfd8449f2

322006541421042 has 96 divisors (see below), whose sum is σ = 738121551710400. Its totient is φ = 101321239098240.

The previous prime is 322006541421017. The next prime is 322006541421077. The reversal of 322006541421042 is 240124145600223.

322006541421042 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 0 + 6 + 541 + 4 + 2 + 104 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 322006541420988 and 322006541421006.

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, 33464584 + ... + 41998707.

It is an arithmetic number, because the mean of its divisors is an integer number (7688766163650).

Almost surely, 2322006541421042 is an apocalyptic number.

322006541421042 is an abundant number, since it is smaller than the sum of its proper divisors (416115010289358).

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

322006541421042 is a wasteful number, since it uses less digits than its factorization.

322006541421042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75463528 (or 75463525 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 322006541421042 in words is "three hundred twenty-two trillion, six billion, five hundred forty-one million, four hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 37 43 74 86 111 129 149 222 258 298 333 387 447 666 774 894 1341 1591 2682 3182 4773 5513 6407 9546 11026 12814 14319 16539 19221 28638 33078 38442 49617 57663 99234 115326 237059 474118 711177 1422354 2133531 4267062 75463291 150926582 226389873 452779746 679169619 1358339238 2792141767 3244921513 5584283534 6489843026 8376425301 9734764539 11244030359 16752850602 19469529078 22488060718 25129275903 29204293617 33732091077 50258551806 58408587234 67464182154 101196273231 120062095981 202392546462 240124191962 360186287943 416029123283 483493305437 720372575886 832058246566 966986610874 1080558863829 1248087369849 1450479916311 2161117727658 2496174739698 2900959832622 3744262109547 4351439748933 7488524219094 8702879497866 17889252301169 35778504602338 53667756903507 107335513807014 161003270710521 322006541421042