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1115346144 = 253116131723
BaseRepresentation
bin100001001111010…
…1101010011100000
32212201201110021110
41002132231103200
54241012034034
6302401423320
736432200013
oct10236552340
92781643243
101115346144
11522647080
1227163ab40
1314a0c4a43
14a81b537a
1567db7de9
hex427ad4e0

1115346144 has 96 divisors (see below), whose sum is σ = 3201012864. Its totient is φ = 337236480.

The previous prime is 1115346137. The next prime is 1115346157. The reversal of 1115346144 is 4416435111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646467 + ... + 648189.

It is an arithmetic number, because the mean of its divisors is an integer number (33343884).

Almost surely, 21115346144 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 1115346144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600506432).

1115346144 is an abundant number, since it is smaller than the sum of its proper divisors (2085666720).

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

1115346144 is a wasteful number, since it uses less digits than its factorization.

1115346144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2352 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 1115346144 is about 33396.7984094284. The cubic root of 1115346144 is about 1037.0584234748.

The spelling of 1115346144 in words is "one billion, one hundred fifteen million, three hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 613 1056 1226 1723 1839 2452 3446 3678 4904 5169 6743 6892 7356 9808 10338 13486 13784 14712 18953 19616 20229 20676 26972 27568 29424 37906 40458 41352 53944 55136 56859 58848 75812 80916 82704 107888 113718 151624 161832 165408 215776 227436 303248 323664 454872 606496 647328 909744 1056199 1819488 2112398 3168597 4224796 6337194 8449592 11618189 12674388 16899184 23236378 25348776 33798368 34854567 46472756 50697552 69709134 92945512 101395104 139418268 185891024 278836536 371782048 557673072 1115346144