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2131553202444 = 22323137431200499
BaseRepresentation
bin11111000001001010011…
…110001011000100001100
321112202220121101221210100
4133001022132023010030
5234410410104434234
64311115542411100
7306666606163311
oct37011236130414
97482817357710
102131553202444
11751a942389a6
122a5138a30a90
1312600a1680b3
147524c34ad08
153a6a7399399
hex1f04a78b10c

2131553202444 has 144 divisors (see below), whose sum is σ = 5845071232000. Its totient is φ = 653455071360.

The previous prime is 2131553202431. The next prime is 2131553202497. The reversal of 2131553202444 is 4442023551312.

It is a happy number.

2131553202444 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 5 + 5 + 3 + 202 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2131553202399 and 2131553202408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175307 + ... + 2375805.

Almost surely, 22131553202444 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 2131553202444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922535616000).

2131553202444 is an abundant number, since it is smaller than the sum of its proper divisors (3713518029556).

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

2131553202444 is a wasteful number, since it uses less digits than its factorization.

2131553202444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200620 (or 1200615 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2131553202444 its reverse (4442023551312), we get a palindrome (6573576753756).

The spelling of 2131553202444 in words is "two trillion, one hundred thirty-one billion, five hundred fifty-three million, two hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 43 62 74 86 93 111 124 129 148 172 186 222 258 279 333 372 387 444 516 558 666 774 1116 1147 1332 1333 1548 1591 2294 2666 3182 3441 3999 4588 4773 5332 6364 6882 7998 9546 10323 11997 13764 14319 15996 19092 20646 23994 28638 41292 47988 49321 57276 98642 147963 197284 295926 443889 591852 887778 1200499 1775556 2400998 3601497 4801996 7202994 10804491 14405988 21608982 37215469 43217964 44418463 51621457 74430938 88836926 103242914 111646407 133255389 148861876 154864371 177673852 206485828 223292814 266510778 309728742 334939221 399766167 446585628 464593113 533021556 619457484 669878442 799532334 929186226 1339756884 1376972353 1599064668 1600265167 1858372452 1909993909 2753944706 3200530334 3819987818 4130917059 4800795501 5507889412 5729981727 6401060668 7639975636 8261834118 9601591002 11459963454 12392751177 14402386503 16523668236 17189945181 19203182004 22919926908 24785502354 28804773006 34379890362 49571004708 57609546012 59209811179 68759780724 118419622358 177629433537 236839244716 355258867074 532888300611 710517734148 1065776601222 2131553202444