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10413031041144 = 23326117387136361
BaseRepresentation
bin1001011110000111100100…
…0001000010100001111000
31100212110212001000002201200
42113201321001002201320
52331101341421304034
634051402545414200
72123213421306024
oct227417101024170
940773761002650
1010413031041144
113355161612506
12120214703a360
135a6c384163a4
1427ddc9c1b384
15130d00870a99
hex97879042878

10413031041144 has 96 divisors (see below), whose sum is σ = 28666145093040. Its totient is φ = 3413887142400.

The previous prime is 10413031041109. The next prime is 10413031041163. The reversal of 10413031041144 is 44114013031401.

10413031041144 is a `hidden beast` number, since 1 + 0 + 413 + 0 + 3 + 104 + 1 + 144 = 666.

It is a congruent number.

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, 76295524 + ... + 76431884.

Almost surely, 210413031041144 is an apocalyptic number.

It is an amenable number.

10413031041144 is an abundant number, since it is smaller than the sum of its proper divisors (18253114051896).

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

10413031041144 is a wasteful number, since it uses less digits than its factorization.

10413031041144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153821 (or 153814 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10413031041144 its reverse (44114013031401), we get a palindrome (54527044072545).

The spelling of 10413031041144 in words is "ten trillion, four hundred thirteen billion, thirty-one million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 17387 34774 52161 69548 104322 136361 139096 156483 208644 272722 312966 409083 417288 545444 625932 818166 1060607 1090888 1227249 1251864 1636332 2121214 2454498 3181821 3272664 4242428 4908996 6363642 8318021 8484856 9545463 9817992 12727284 16636042 19090926 24954063 25454568 33272084 38181852 49908126 66544168 74862189 76363704 99816252 149724378 199632504 299448756 598897512 2370908707 4741817414 7112726121 9483634828 14225452242 18967269656 21338178363 28450904484 42676356726 56901808968 85352713452 144625431127 170705426904 289250862254 433876293381 578501724508 867752586762 1157003449016 1301628880143 1735505173524 2603257760286 3471010347048 5206515520572 10413031041144