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1149152411340 = 2233519112003159
BaseRepresentation
bin10000101110001110110…
…100100011111011001100
311001212011101222222022000
4100232032310203323030
5122311431004130330
62235525140152300
7146011032221223
oct20561664437314
94055141888260
101149152411340
1140339763a14a
12166868998690
138449807243b
143d895401cba
151ed5ac1d560
hex10b8ed23ecc

1149152411340 has 96 divisors (see below), whose sum is σ = 3763306176000. Its totient is φ = 290312185536.

The previous prime is 1149152411311. The next prime is 1149152411387. The reversal of 1149152411340 is 431142519411.

1149152411340 is a `hidden beast` number, since 1 + 1 + 4 + 91 + 524 + 1 + 1 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1149152411295 and 1149152411304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55991320 + ... + 56011839.

It is an arithmetic number, because the mean of its divisors is an integer number (39201106000).

Almost surely, 21149152411340 is an apocalyptic number.

1149152411340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1149152411340 is an abundant number, since it is smaller than the sum of its proper divisors (2614153764660).

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

1149152411340 is a wasteful number, since it uses less digits than its factorization.

1149152411340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112003196 (or 112003188 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1149152411340 in words is "one trillion, one hundred forty-nine billion, one hundred fifty-two million, four hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 112003159 224006318 336009477 448012636 560015795 672018954 1008028431 1120031590 1344037908 1680047385 2016056862 2128060021 2240063180 3024085293 3360094770 4032113724 4256120042 5040142155 6048170586 6384180063 6720189540 8512240084 10080284310 10640300105 12096341172 12768360126 15120426465 19152540189 20160568620 21280600210 25536720252 30240852930 31920900315 38305080378 42561200420 57457620567 60481705860 63841800630 76610160756 95762700945 114915241134 127683601260 191525401890 229830482268 287288102835 383050803780 574576205670 1149152411340