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1141616632 = 231324373269
BaseRepresentation
bin100010000001011…
…1010111111111000
32221120011010121111
41010002322333320
54314223213012
6305140450104
740201403242
oct10402727770
92846133544
101141616632
1153645a522
1227a3a9934
13152692300
14ab893092
156a356ba7
hex440baff8

1141616632 has 96 divisors (see below), whose sum is σ = 2413184400. Its totient is φ = 505709568.

The previous prime is 1141616627. The next prime is 1141616677. The reversal of 1141616632 is 2366161411.

It is a junction number, because it is equal to n+sod(n) for n = 1141616594 and 1141616603.

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, 4243794 + ... + 4244062.

Almost surely, 21141616632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141616632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206592200).

1141616632 is an abundant number, since it is smaller than the sum of its proper divisors (1271567768).

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

1141616632 is a wasteful number, since it uses less digits than its factorization.

1141616632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 1141616632 is about 33787.8178046467. The cubic root of 1141616632 is about 1045.1374961592.

The spelling of 1141616632 in words is "one billion, one hundred forty-one million, six hundred sixteen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 43 52 73 86 104 146 169 172 269 292 338 344 538 559 584 676 949 1076 1118 1352 1898 2152 2236 3139 3497 3796 4472 6278 6994 7267 7592 11567 12337 12556 13988 14534 19637 23134 24674 25112 27976 29068 39274 40807 45461 46268 49348 58136 78548 81614 90922 92536 98696 150371 157096 163228 181844 255281 300742 326456 363688 510562 530491 601484 844391 1021124 1060982 1202968 1688782 1954823 2042248 2121964 3318653 3377564 3909646 4243928 6637306 6755128 7819292 10977083 13274612 15638584 21954166 26549224 43908332 87816664 142702079 285404158 570808316 1141616632