Search a number
-
+
321410003020040 = 2351122511543921019
BaseRepresentation
bin100100100010100100001100…
…1000011101010100100001000
31120011000111101201211221211102
41021011020121003222210020
5314111440141233120130
63055325414512320532
7124462051333442534
oct11105103103524410
91504014351757742
10321410003020040
1193458242621860
123006b4b3843148
1310a45aaa7c968c
1459524819aabc4
152725929b0c645
hex12452190ea908

321410003020040 has 128 divisors (see below), whose sum is σ = 789354609408000. Its totient is φ = 116811318240000.

The previous prime is 321410003020013. The next prime is 321410003020111. The reversal of 321410003020040 is 40020300014123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 321410003019994 and 321410003020021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15291392651 + ... + 15291413669.

It is an arithmetic number, because the mean of its divisors is an integer number (6166832886000).

Almost surely, 2321410003020040 is an apocalyptic number.

It is an amenable number.

321410003020040 is an abundant number, since it is smaller than the sum of its proper divisors (467944606387960).

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

321410003020040 is a wasteful number, since it uses less digits than its factorization.

321410003020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38731 (or 38727 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 321410003020040 its reverse (40020300014123), we get a palindrome (361430303034163).

The spelling of 321410003020040 in words is "three hundred twenty-one trillion, four hundred ten billion, three million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2251 4502 9004 11255 15439 18008 21019 22510 24761 30878 42038 45020 49522 61756 77195 84076 90040 99044 105095 123512 123805 154390 168152 169829 198088 210190 231209 247610 308780 339658 420380 462418 495220 617560 679316 840760 849145 924836 990440 1156045 1358632 1698290 1849672 2312090 3396580 4624180 6793160 9248360 34753189 47313769 69506378 94627538 139012756 173765945 189255076 236568845 278025512 324512341 347531890 378510152 382285079 473137690 520451459 649024682 695063780 764570158 946275380 1040902918 1298049364 1390127560 1529140316 1622561705 1892550760 1911425395 2081805836 2596098728 2602257295 3058280632 3245123410 3569635751 3822850790 4163611672 5204514590 6490246820 7139271502 7645701580 10409029180 12980493640 14278543004 15291403160 17848178755 20818058360 28557086008 35696357510 71392715020 142785430040 730477279591 1460954559182 2921909118364 3652386397955 5843818236728 7304772795910 8035250075501 14609545591820 16070500151002 29219091183640 32141000302004 40176250377505 64282000604008 80352500755010 160705001510020 321410003020040