Search a number
-
+
10214036424 = 23321717946619
BaseRepresentation
bin10011000001100110…
…11101001111001000
3222100211111210220100
421200303131033020
5131404243131144
64405310125400
7511053606564
oct114063351710
928324453810
1010214036424
114371614819
121b907b0860
13c6a14a647
146cc75a6a4
153eba8b269
hex260cdd3c8

10214036424 has 96 divisors (see below), whose sum is σ = 29454516000. Its totient is φ = 3186433536.

The previous prime is 10214036419. The next prime is 10214036447. The reversal of 10214036424 is 42463041201.

It is a happy number.

10214036424 is a `hidden beast` number, since 1 + 0 + 2 + 14 + 0 + 3 + 642 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195787 + ... + 242405.

It is an arithmetic number, because the mean of its divisors is an integer number (306817875).

Almost surely, 210214036424 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 10214036424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14727258000).

10214036424 is an abundant number, since it is smaller than the sum of its proper divisors (19240479576).

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

10214036424 is a wasteful number, since it uses less digits than its factorization.

10214036424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46827 (or 46820 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10214036424 its reverse (42463041201), we get a palindrome (52677077625).

The spelling of 10214036424 in words is "ten billion, two hundred fourteen million, thirty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 179 204 306 358 408 537 612 716 1074 1224 1432 1611 2148 3043 3222 4296 6086 6444 9129 12172 12888 18258 24344 27387 36516 46619 54774 73032 93238 109548 139857 186476 219096 279714 372952 419571 559428 792523 839142 1118856 1585046 1678284 2377569 3170092 3356568 4755138 6340184 7132707 8344801 9510276 14265414 16689602 19020552 25034403 28530828 33379204 50068806 57061656 66758408 75103209 100137612 141861617 150206418 200275224 283723234 300412836 425584851 567446468 600825672 851169702 1134892936 1276754553 1702339404 2553509106 3404678808 5107018212 10214036424