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3146403345204 = 2237293037425297
BaseRepresentation
bin101101110010010100010…
…000001111001100110100
3102010210102020222210110210
4231302110100033030310
5403022313224021304
610405234315145420
7443214544105230
oct55622420171464
912123366883423
103146403345204
111003422730949
12429964145270
1319a920c00a52
14ac402b295c0
1556ca26c2c89
hex2dc9440f334

3146403345204 has 96 divisors (see below), whose sum is σ = 8682611777280. Its totient is φ = 867685496832.

The previous prime is 3146403345133. The next prime is 3146403345277. The reversal of 3146403345204 is 4025433046413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7185484 + ... + 7610780.

It is an arithmetic number, because the mean of its divisors is an integer number (90443872680).

Almost surely, 23146403345204 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 3146403345204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341305888640).

3146403345204 is an abundant number, since it is smaller than the sum of its proper divisors (5536208432076).

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

3146403345204 is a wasteful number, since it uses less digits than its factorization.

3146403345204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428377 (or 428375 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 3146403345204 in words is "three trillion, one hundred forty-six billion, four hundred three million, three hundred forty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 3037 6074 9111 12148 18222 21259 36444 42518 63777 85036 88073 127554 176146 255108 264219 352292 425297 528438 616511 850594 1056876 1233022 1275891 1701188 1849533 2466044 2551782 2977079 3699066 5103564 5954158 7398132 8931237 11908316 12333613 17862474 24667226 35724948 37000839 49334452 74001678 86335291 148003356 172670582 259005873 345341164 518011746 1036023492 1291626989 2583253978 3874880967 5166507956 7749761934 9041388923 15499523868 18082777846 27124166769 36165555692 37457182681 54248333538 74914365362 108496667076 112371548043 149828730724 224743096086 262200278767 449486192172 524400557534 786600836301 1048801115068 1573201672602 3146403345204