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1138357091740 = 2251140122815657
BaseRepresentation
bin10000100100001011010…
…111101011110110011100
311000211022001200220210011
4100210023113223312130
5122122323403413430
62230542023053004
7145146356425231
oct20441327536634
94024261626704
101138357091740
113a98579a0810
121647555a1164
138346768056b
143d14d7b1788
151e92811022a
hex1090b5ebd9c

1138357091740 has 96 divisors (see below), whose sum is σ = 2615984538048. Its totient is φ = 412661760000.

The previous prime is 1138357091647. The next prime is 1138357091747. The reversal of 1138357091740 is 471907538311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138357091747) 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, 201226992 + ... + 201232648.

It is an arithmetic number, because the mean of its divisors is an integer number (27249838938).

Almost surely, 21138357091740 is an apocalyptic number.

1138357091740 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 1138357091740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307992269024).

1138357091740 is an abundant number, since it is smaller than the sum of its proper divisors (1477627446308).

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

1138357091740 is a wasteful number, since it uses less digits than its factorization.

1138357091740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8359 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

The spelling of 1138357091740 in words is "one trillion, one hundred thirty-eight billion, three hundred fifty-seven million, ninety-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 401 802 1604 2005 2281 4010 4411 4562 5657 8020 8822 9124 11314 11405 17644 22055 22628 22810 25091 28285 44110 45620 50182 56570 62227 88220 100364 113140 124454 125455 248908 250910 311135 501820 622270 914681 1244540 1829362 2268457 3658724 4536914 4573405 9073828 9146810 10061491 11342285 12903617 18293620 20122982 22684570 24953027 25807234 40245964 45369140 49906054 50307455 51614468 64518085 99812108 100614910 124765135 129036170 141939787 201229820 249530270 258072340 283879574 499060540 567759148 709698935 1419397870 2838795740 5174350417 10348700834 20697401668 25871752085 51743504170 56917854587 103487008340 113835709174 227671418348 284589272935 569178545870 1138357091740