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1019038141088 = 251117439387913
BaseRepresentation
bin11101101010000110110…
…10000000101010100000
310121102022112001012100122
432311003122000222200
5113143442231003323
62100050055535412
7133423500165362
oct16650332005240
93542275035318
101019038141088
113631985120a0
121455b598a568
13751305cb996
1437470aacd32
151b792d36ec8
hexed43680aa0

1019038141088 has 96 divisors (see below), whose sum is σ = 2322642833280. Its totient is φ = 434957967360.

The previous prime is 1019038140979. The next prime is 1019038141123. The reversal of 1019038141088 is 8801418309101.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 2433020 + ... + 2820932.

It is an arithmetic number, because the mean of its divisors is an integer number (24194196180).

Almost surely, 21019038141088 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 1019038141088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161321416640).

1019038141088 is an abundant number, since it is smaller than the sum of its proper divisors (1303604692192).

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

1019038141088 is a wasteful number, since it uses less digits than its factorization.

1019038141088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388390 (or 388382 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 44.

The spelling of 1019038141088 in words is "one trillion, nineteen billion, thirty-eight million, one hundred forty-one thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 439 544 748 878 1496 1756 2992 3512 4829 5984 7024 7463 9658 14048 14926 19316 29852 38632 59704 77264 82093 119408 154528 164186 238816 328372 387913 656744 775826 1313488 1551652 2626976 3103304 4267043 6206608 6594521 8534086 12413216 13189042 17068172 26378084 34136344 52756168 68272688 72539731 105512336 136545376 145079462 170293807 211024672 290158924 340587614 580317848 681175228 1160635696 1362350456 1873231877 2321271392 2724700912 2894994719 3746463754 5449401824 5789989438 7492927508 11579978876 14985855016 23159957752 29971710032 31844941909 46319915504 59943420064 63689883818 92639831008 127379767636 254759535272 509519070544 1019038141088