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1141021464 = 23311311071303
BaseRepresentation
bin100010000000010…
…1001101100011000
32221112000220012020
41010000221230120
54314100141324
6305120014440
740163344122
oct10400515430
92845026166
101141021464
11536093350
1227a161420
1315251443b
14ab77a212
156a28a679
hex44029b18

1141021464 has 128 divisors (see below), whose sum is σ = 3244769280. Its totient is φ = 331228800.

The previous prime is 1141021451. The next prime is 1141021481. The reversal of 1141021464 is 4641201411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 875037 + ... + 876339.

It is an arithmetic number, because the mean of its divisors is an integer number (25349760).

Almost surely, 21141021464 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 1141021464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622384640).

1141021464 is an abundant number, since it is smaller than the sum of its proper divisors (2103747816).

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

1141021464 is a wasteful number, since it uses less digits than its factorization.

1141021464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1141021464 is about 33779.0092217045. The cubic root of 1141021464 is about 1044.9558413305.

Adding to 1141021464 its reverse (4641201411), we get a palindrome (5782222875).

The spelling of 1141021464 in words is "one billion, one hundred forty-one million, twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 107 124 132 186 214 248 264 321 341 372 428 642 682 744 856 1023 1177 1284 1303 1364 2046 2354 2568 2606 2728 3317 3531 3909 4092 4708 5212 6634 7062 7818 8184 9416 9951 10424 13268 14124 14333 15636 19902 26536 28248 28666 31272 36487 39804 40393 42999 57332 72974 79608 80786 85998 109461 114664 121179 139421 145948 161572 171996 218922 242358 278842 291896 323144 343992 418263 437844 444323 484716 557684 836526 875688 888646 969432 1115368 1332969 1533631 1673052 1777292 2665938 3067262 3346104 3554584 4322051 4600893 5331876 6134524 8644102 9201786 10663752 12269048 12966153 17288204 18403572 25932306 34576408 36807144 47542561 51864612 95085122 103729224 142627683 190170244 285255366 380340488 570510732 1141021464