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1050337922940 = 2232513174359951
BaseRepresentation
bin11110100100011010000…
…01001100111101111100
310201102002212002212020100
433102031001030331330
5114202043002013230
62122304002521100
7135612232015605
oct17221501147574
93642085085210
101050337922940
1137549a4144a9
1214b690066190
137807b053667
1438b9d9bcdac
151c4c5b0b660
hexf48d04cf7c

1050337922940 has 144 divisors (see below), whose sum is σ = 3214720244736. Its totient is φ = 277573296000.

The previous prime is 1050337922929. The next prime is 1050337922941. The reversal of 1050337922940 is 492297330501.

1050337922940 is a `hidden beast` number, since 1 + 0 + 50 + 3 + 379 + 229 + 4 + 0 = 666.

It is a super-2 number, since 2×10503379229402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050337922941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17489965 + ... + 17549915.

It is an arithmetic number, because the mean of its divisors is an integer number (22324446144).

Almost surely, 21050337922940 is an apocalyptic number.

1050337922940 is a gapful number since it is divisible by the number (10) 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 1050337922940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607360122368).

1050337922940 is an abundant number, since it is smaller than the sum of its proper divisors (2164382321796).

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

1050337922940 is a wasteful number, since it uses less digits than its factorization.

1050337922940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60840 (or 60835 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 1050337922940 in words is "one trillion, fifty billion, three hundred thirty-seven million, nine hundred twenty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 743 786 1179 1310 1486 1572 1965 2229 2358 2620 2972 3715 3930 4458 4716 5895 6687 7430 7860 8916 11145 11790 13374 14860 22290 23580 26748 33435 44580 59951 66870 97333 119902 133740 179853 194666 239804 291999 299755 359706 389332 486665 539559 583998 599510 719412 875997 899265 973330 1079118 1167996 1199020 1459995 1751994 1798530 1946660 2158236 2697795 2919990 3503988 3597060 4379985 5395590 5839980 7853581 8759970 10791180 15707162 17519940 23560743 31414324 39267905 44543593 47121486 70682229 78535810 89087186 94242972 117803715 133630779 141364458 157071620 178174372 222717965 235607430 267261558 282728916 353411145 400892337 445435930 471214860 534523116 668153895 706822290 801784674 890871860 1336307790 1413644580 1603569348 2004461685 2672615580 4008923370 5835210683 8017846740 11670421366 17505632049 23340842732 29176053415 35011264098 52516896147 58352106830 70022528196 87528160245 105033792294 116704213660 175056320490 210067584588 262584480735 350112640980 525168961470 1050337922940