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1141003144332 = 223419137934861
BaseRepresentation
bin10000100110101001000…
…101100100110010001100
311001002010110201022120000
4100212221011210302030
5122143233301104312
62232100345124300
7145302056463252
oct20465105446214
94032113638500
101141003144332
113aa995590237
12165173789690
1383799928c5c
143d320da05d2
151ea3058aadc
hex109a9164c8c

1141003144332 has 120 divisors (see below), whose sum is σ = 2999831907072. Its totient is φ = 378165542400.

The previous prime is 1141003144313. The next prime is 1141003144339. The reversal of 1141003144332 is 2334413001411.

1141003144332 is a `hidden beast` number, since 1 + 1 + 4 + 10 + 0 + 314 + 4 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1141003144296 and 1141003144305.

It is not an unprimeable number, because it can be changed into a prime (1141003144339) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234723582 + ... + 234728442.

Almost surely, 21141003144332 is an apocalyptic number.

1141003144332 is a gapful number since it is divisible by the number (12) 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 1141003144332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499915953536).

1141003144332 is an abundant number, since it is smaller than the sum of its proper divisors (1858828762740).

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

1141003144332 is a wasteful number, since it uses less digits than its factorization.

1141003144332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8861 (or 8850 counting only the distinct ones).

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

Adding to 1141003144332 its reverse (2334413001411), we get a palindrome (3475416145743).

The spelling of 1141003144332 in words is "one trillion, one hundred forty-one billion, three million, one hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 191 324 382 573 764 1146 1719 2292 3438 3793 4861 5157 6876 7586 9722 10314 11379 14583 15172 15471 19444 20628 22758 29166 30942 34137 43749 45516 58332 61884 68274 87498 102411 131247 136548 174996 204822 262494 307233 393741 409644 524988 614466 724463 787482 928451 1228932 1448926 1574964 1856902 2173389 2785353 2897852 3713804 4346778 5570706 6520167 8356059 8693556 11141412 13040334 16712118 18437773 19560501 25068177 26080668 33424236 36875546 39121002 50136354 55313319 58681503 73751092 75204531 78242004 100272708 110626638 117363006 150409062 165939957 221253276 234726012 300818124 331879914 497819871 663759828 995639742 1493459613 1991279484 2986919226 3521614643 5973838452 7043229286 10564843929 14086458572 21129687858 31694531787 42259375716 63389063574 95083595361 126778127148 190167190722 285250786083 380334381444 570501572166 1141003144332