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1133023140144 = 243272293490201
BaseRepresentation
bin10000011111001101011…
…100010001100100110000
311000022112022221002202100
4100133031130101210300
5122030412410441034
62224300442020400
7144600240534030
oct20371534214460
94008468832670
101133023140144
113a757002aa55
121637071a7700
1382ac759739c
143cba521d8c0
151e714be0099
hex107cd711930

1133023140144 has 120 divisors (see below), whose sum is σ = 3625463402912. Its totient is φ = 323579059200.

The previous prime is 1133023140133. The next prime is 1133023140229. The reversal of 1133023140144 is 4410413203311.

1133023140144 is a `hidden beast` number, since 1 + 1 + 3 + 302 + 314 + 0 + 1 + 44 = 666.

It is a super-2 number, since 2×11330231401442 (a number of 25 digits) contains 22 as substring.

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, 2066244 + ... + 2556444.

Almost surely, 21133023140144 is an apocalyptic number.

1133023140144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133023140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812731701456).

1133023140144 is an abundant number, since it is smaller than the sum of its proper divisors (2492440262768).

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

1133023140144 is a wasteful number, since it uses less digits than its factorization.

1133023140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492515 (or 492506 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1133023140144 its reverse (4410413203311), we get a palindrome (5543436343455).

The spelling of 1133023140144 in words is "one trillion, one hundred thirty-three billion, twenty-three million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2293 4586 6879 9172 13758 16051 18344 20637 27516 32102 36688 41274 48153 55032 64204 82548 96306 110064 128408 144459 165096 192612 256816 288918 330192 385224 490201 577836 770448 980402 1155672 1470603 1960804 2311344 2941206 3431407 3921608 4411809 5882412 6862814 7843216 8823618 10294221 11764824 13725628 17647236 20588442 23529648 27451256 30882663 35294472 41176884 54902512 61765326 70588944 82353768 123530652 164707536 247061304 494122608 1124030893 2248061786 3372092679 4496123572 6744185358 7868216251 8992247144 10116278037 13488370716 15736432502 17984494288 20232556074 23604648753 26976741432 31472865004 40465112148 47209297506 53953482864 62945730008 70813946259 80930224296 94418595012 125891460016 141627892518 161860448592 188837190024 283255785036 377674380048 566511570072 1133023140144