Search a number
-
+
10414235136 = 29323294787
BaseRepresentation
bin10011011001011110…
…01001111000000000
3222212210012221220110
421230233021320000
5132312021011021
64441221111320
7516034352364
oct115457117000
928783187813
1010414235136
114464622aa8
122027858540
13c9c774216
1470b1912a4
1540e434476
hex26cbc9e00

10414235136 has 80 divisors (see below), whose sum is σ = 28950539904. Its totient is φ = 3320469504.

The previous prime is 10414235101. The next prime is 10414235171. The reversal of 10414235136 is 63153241401.

It is an interprime number because it is at equal distance from previous prime (10414235101) and next prime (10414235171).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112066 + ... + 182721.

Almost surely, 210414235136 is an apocalyptic number.

10414235136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10414235136 is an abundant number, since it is smaller than the sum of its proper divisors (18536304768).

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

10414235136 is an equidigital number, since it uses as much as digits as its factorization.

10414235136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294831 (or 294815 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10414235136 its reverse (63153241401), we get a palindrome (73567476537).

The spelling of 10414235136 in words is "ten billion, four hundred fourteen million, two hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2944 4416 5888 8832 11776 17664 35328 294787 589574 884361 1179148 1768722 2358296 3537444 4716592 6780101 7074888 9433184 13560202 14149776 18866368 20340303 27120404 28299552 37732736 40680606 54240808 56599104 75465472 81361212 108481616 113198208 150930944 162722424 216963232 226396416 325444848 433926464 452792832 650889696 867852928 1301779392 1735705856 2603558784 3471411712 5207117568 10414235136