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12042307984 = 2472383151373
BaseRepresentation
bin10110011011100011…
…10000100110010000
31011002020201121222211
423031301300212100
5144130312323414
65310540241504
7604263633430
oct131561604620
934066647884
1012042307984
11511a629253
122400b40294
13119bb58a35
148234b22c0
154a732b3c4
hex2cdc70990

12042307984 has 160 divisors (see below), whose sum is σ = 28422180864. Its totient is φ = 4831833600.

The previous prime is 12042307973. The next prime is 12042308009. The reversal of 12042307984 is 48970324021.

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, 32284822 + ... + 32285194.

Almost surely, 212042307984 is an apocalyptic number.

12042307984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12042307984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14211090432).

12042307984 is an abundant number, since it is smaller than the sum of its proper divisors (16379872880).

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

12042307984 is a wasteful number, since it uses less digits than its factorization.

12042307984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 12042307984 in words is "twelve billion, forty-two million, three hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 83 92 112 151 161 166 184 302 322 332 368 373 581 604 644 664 746 1057 1162 1208 1288 1328 1492 1909 2114 2324 2416 2576 2611 2984 3473 3818 4228 4648 5222 5968 6946 7636 8456 8579 9296 10444 12533 13363 13892 15272 16912 17158 20888 24311 25066 26726 27784 30544 30959 34316 41776 48622 50132 53452 55568 56323 60053 61918 68632 87731 97244 100264 106904 112646 120106 123836 137264 175462 194488 200528 213808 216713 225292 240212 247672 288259 350924 388976 394261 433426 450584 480424 495344 576518 701848 712057 788522 866852 901168 960848 1153036 1295429 1403696 1424114 1577044 1733704 2017813 2306072 2590858 2848228 3154088 3467408 4035626 4612144 4674809 4984399 5181716 5696456 6308176 8071252 9068003 9349618 9968798 10363432 11392912 16142504 18136006 18699236 19937596 20726864 32285008 32723663 36272012 37398472 39875192 65447326 72544024 74796944 79750384 107520607 130894652 145088048 215041214 261789304 430082428 523578608 752644249 860164856 1505288498 1720329712 3010576996 6021153992 12042307984