Search a number
-
+
23134414210353 = 336179177802481
BaseRepresentation
bin1010100001010011001101…
…00010101000010100110001
310000220121222002210010222000
411100221212202220110301
511013013240014212403
6121111445252404213
74605256231145205
oct520514642502461
9100817862703860
1023134414210353
11740a282788476
122717730616669
13cba748385544
1459d9d6996b05
152a1ba4c327a3
hex150a668a8531

23134414210353 has 32 divisors (see below), whose sum is σ = 35276012428800. Its totient is φ = 14978080915200.

The previous prime is 23134414210337. The next prime is 23134414210367. The reversal of 23134414210353 is 35301241443132.

23134414210353 is a `hidden beast` number, since 2 + 3 + 134 + 414 + 2 + 103 + 5 + 3 = 666.

It is not a de Polignac number, because 23134414210353 - 24 = 23134414210337 is a prime.

It is a super-2 number, since 2×231344142103532 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23134414217353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88771128 + ... + 89031353.

It is an arithmetic number, because the mean of its divisors is an integer number (1102375388400).

Almost surely, 223134414210353 is an apocalyptic number.

It is an amenable number.

23134414210353 is a deficient number, since it is larger than the sum of its proper divisors (12141598218447).

23134414210353 is a wasteful number, since it uses less digits than its factorization.

23134414210353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177802630 (or 177802624 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 23134414210353 its reverse (35301241443132), we get a palindrome (58435655653485).

The spelling of 23134414210353 in words is "twenty-three trillion, one hundred thirty-four billion, four hundred fourteen million, two hundred ten thousand, three hundred fifty-three".

Divisors: 1 3 9 27 61 79 183 237 549 711 1647 2133 4819 14457 43371 130113 177802481 533407443 1600222329 4800666987 10845951341 14046395999 32537854023 42139187997 97613562069 126417563991 292840686207 379252691973 856830155939 2570490467817 7711471403451 23134414210353