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119141145728 = 271129478123
BaseRepresentation
bin110111011110101011…
…1011001110010000000
3102101112011002021220222
41232331113121302000
53423000113130403
6130422132122212
711415300013043
oct1567527316200
9371464067828
10119141145728
1146589086200
121b110166368
13b309298b87
145aa325ac5a
1531748a5338
hex1bbd5d9c80

119141145728 has 96 divisors (see below), whose sum is σ = 261198136080. Its totient is φ = 54091220480.

The previous prime is 119141145719. The next prime is 119141145737. The reversal of 119141145728 is 827541141911.

It is an interprime number because it is at equal distance from previous prime (119141145719) and next prime (119141145737).

It is a super-2 number, since 2×1191411457282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14663075 + ... + 14671197.

Almost surely, 2119141145728 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 119141145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130599068040).

119141145728 is an abundant number, since it is smaller than the sum of its proper divisors (142056990352).

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

119141145728 is an equidigital number, since it uses as much as digits as its factorization.

119141145728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9106 (or 9083 counting only the distinct ones).

The product of its digits is 80640, while the sum is 44.

The spelling of 119141145728 in words is "one hundred nineteen billion, one hundred forty-one million, one hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 947 968 1408 1894 1936 3788 3872 7576 7744 8123 10417 15152 15488 16246 20834 30304 32492 41668 60608 64984 83336 89353 114587 121216 129968 166672 178706 229174 259936 333344 357412 458348 519872 666688 714824 916696 982883 1039744 1333376 1429648 1833392 1965766 2859296 3666784 3931532 5718592 7333568 7692481 7863064 11437184 14667136 15384962 15726128 30769924 31452256 61539848 62904512 84617291 123079696 125809024 169234582 246159392 338469164 492318784 676938328 930790201 984637568 1353876656 1861580402 2707753312 3723160804 5415506624 7446321608 10831013248 14892643216 29785286432 59570572864 119141145728