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1035042455440 = 245717503216149
BaseRepresentation
bin11110000111111010101…
…01100111111110010000
310122221121212222121100001
433003331111213332100
5113424231332033230
62111254131535344
7134531213465110
oct17037525477620
93587555877301
101035042455440
11369a60534374
1214872175a554
13767b1235886
143814c445040
151bdccdd10ca
hexf0fd567f90

1035042455440 has 160 divisors (see below), whose sum is σ = 2917838246400. Its totient is φ = 333331341312.

The previous prime is 1035042455399. The next prime is 1035042455483. The reversal of 1035042455440 is 445542405301.

It is a self number, because there is not a number n which added to its sum of digits gives 1035042455440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4680486 + ... + 4896634.

It is an arithmetic number, because the mean of its divisors is an integer number (18236489040).

Almost surely, 21035042455440 is an apocalyptic number.

1035042455440 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 1035042455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458919123200).

1035042455440 is an abundant number, since it is smaller than the sum of its proper divisors (1882795790960).

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

1035042455440 is a wasteful number, since it uses less digits than its factorization.

1035042455440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216689 (or 216683 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 1035042455440 in words is "one trillion, thirty-five billion, forty-two million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 503 560 595 680 952 1006 1190 1360 1904 2012 2380 2515 3521 4024 4760 5030 7042 8048 8551 9520 10060 14084 17102 17605 20120 28168 34204 35210 40240 42755 56336 59857 68408 70420 85510 119714 136816 140840 171020 216149 239428 281680 299285 342040 432298 478856 598570 684080 864596 957712 1080745 1197140 1513043 1729192 2161490 2394280 3026086 3458384 3674533 4322980 4788560 6052172 7349066 7565215 8645960 12104344 14698132 15130430 17291920 18372665 24208688 25721731 29396264 30260860 36745330 51443462 58792528 60521720 73490660 102886924 108722947 121043440 128608655 146981320 205773848 217445894 257217310 293962640 411547696 434891788 514434620 543614735 761060629 869783576 1028869240 1087229470 1522121258 1739567152 1848290099 2057738480 2174458940 3044242516 3696580198 3805303145 4348917880 6088485032 7393160396 7610606290 8697835760 9241450495 12176970064 12938030693 14786320792 15221212580 18482900990 25876061386 29572641584 30442425160 36965801980 51752122772 60884850320 64690153465 73931603960 103504245544 129380306930 147863207920 207008491088 258760613860 517521227720 1035042455440