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1144647971376 = 243713379691433
BaseRepresentation
bin10000101010000010010…
…101011111001000110000
311001102112111002201022020
4100222002111133020300
5122223214340041001
62233502150311440
7145461305136210
oct20520225371060
94042474081266
101144647971376
11401495a36798
12165a10358580
1383c2aaa2a50
143d58909c240
151eb95554736
hex10a8255f230

1144647971376 has 160 divisors (see below), whose sum is σ = 3649001448960. Its totient is φ = 301088212992.

The previous prime is 1144647971371. The next prime is 1144647971413. The reversal of 1144647971376 is 6731797464411.

It is not an unprimeable number, because it can be changed into a prime (1144647971371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309756 + ... + 2001188.

It is an arithmetic number, because the mean of its divisors is an integer number (22806259056).

Almost surely, 21144647971376 is an apocalyptic number.

1144647971376 is a gapful number since it is divisible by the number (16) 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 1144647971376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824500724480).

1144647971376 is an abundant number, since it is smaller than the sum of its proper divisors (2504353477584).

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

1144647971376 is a wasteful number, since it uses less digits than its factorization.

1144647971376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691843 (or 691837 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 60.

The spelling of 1144647971376 in words is "one trillion, one hundred forty-four billion, six hundred forty-seven million, nine hundred seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 379 546 624 728 758 1092 1137 1456 1516 2184 2274 2653 3032 4368 4548 4927 5306 6064 7959 9096 9854 10612 14781 15918 18192 19708 21224 29562 31836 34489 39416 42448 59124 63672 68978 78832 103467 118248 127344 137956 206934 236496 275912 413868 551824 691433 827736 1382866 1655472 2074299 2765732 4148598 4840031 5531464 8297196 8988629 9680062 11062928 14520093 16594392 17977258 19360124 26965887 29040186 33188784 35954516 38720248 53931774 58080372 62920403 71909032 77440496 107863548 116160744 125840806 143818064 188761209 215727096 232321488 251681612 262053107 377522418 431454192 503363224 524106214 755044836 786159321 1006726448 1048212428 1510089672 1572318642 1834371749 2096424856 3020179344 3144637284 3406690391 3668743498 4192849712 5503115247 6289274568 6813380782 7337486996 10220071173 11006230494 12578549136 13626761564 14674973992 20440142346 22012460988 23846832737 27253523128 29349947984 40880284692 44024921976 47693665474 54507046256 71540498211 81760569384 88049843952 95387330948 143080996422 163521138768 190774661896 286161992844 381549323792 572323985688 1144647971376