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3142444656 = 24313192391109
BaseRepresentation
bin1011101101001101…
…1110011001110000
322010000001201200010
42323103132121300
522413431212111
61235453254520
7140605224141
oct27323363160
98100051603
103142444656
1113729121aa
12738494440
133b1069510
1421b4c5ac8
15135d2eaa6
hexbb4de670

3142444656 has 160 divisors (see below), whose sum is σ = 9249408000. Its totient is φ = 911361024.

The previous prime is 3142444649. The next prime is 3142444729. The reversal of 3142444656 is 6564442413.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2833030 + ... + 2834138.

It is an arithmetic number, because the mean of its divisors is an integer number (57808800).

Almost surely, 23142444656 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 3142444656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624704000).

3142444656 is an abundant number, since it is smaller than the sum of its proper divisors (6106963344).

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

3142444656 is a wasteful number, since it uses less digits than its factorization.

3142444656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1385 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The square root of 3142444656 is about 56057.5120389765. The cubic root of 3142444656 is about 1464.7242750868.

The spelling of 3142444656 in words is "three billion, one hundred forty-two million, four hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 239 247 304 312 456 478 494 624 717 741 912 956 988 1109 1434 1482 1912 1976 2218 2868 2964 3107 3327 3824 3952 4436 4541 5736 5928 6214 6654 8872 9082 9321 11472 11856 12428 13308 13623 14417 17744 18164 18642 21071 24856 26616 27246 28834 36328 37284 42142 43251 49712 53232 54492 57668 59033 63213 72656 74568 84284 86502 108984 115336 118066 126426 149136 168568 173004 177099 217968 230672 236132 252852 265051 273923 337136 346008 354198 472264 505704 530102 547846 692016 708396 795153 821769 944528 1011408 1060204 1095692 1416792 1590306 1643538 2120408 2191384 2833584 3180612 3287076 3445663 4240816 4382768 5035969 6361224 6574152 6891326 10071938 10336989 12722448 13148304 13782652 15107907 20143876 20673978 27565304 30215814 40287752 41347956 55130608 60431628 65467597 80575504 82695912 120863256 130935194 165391824 196402791 241726512 261870388 392805582 523740776 785611164 1047481552 1571222328 3142444656