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1035396430024 = 2311234127774493
BaseRepresentation
bin11110001000100100110…
…11111011100011001000
310122222112120001101011211
433010102123323203020
5113430442441230044
62111353214502504
7134543042305015
oct17042233734310
93588476041154
101035396430024
1136a122323750
12148800204a34
1376839680ba8
143818346870c
151bdee002634
hexf1126fb8c8

1035396430024 has 128 divisors (see below), whose sum is σ = 2265157198080. Its totient is φ = 438936678400.

The previous prime is 1035396429997. The next prime is 1035396430043. The reversal of 1035396430024 is 4200346935301.

1035396430024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 230444322 + ... + 230448814.

It is an arithmetic number, because the mean of its divisors is an integer number (17696540610).

Almost surely, 21035396430024 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 1035396430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132578599040).

1035396430024 is an abundant number, since it is smaller than the sum of its proper divisors (1229760768056).

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

1035396430024 is a wasteful number, since it uses less digits than its factorization.

1035396430024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7351 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 1035396430024 in words is "one trillion, thirty-five billion, three hundred ninety-six million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 23 41 44 46 82 88 92 164 184 253 328 451 506 902 943 1012 1804 1886 2024 2777 3608 3772 4493 5554 7544 8986 10373 11108 17972 20746 22216 30547 35944 41492 49423 61094 63871 82984 98846 103339 113857 122188 127742 184213 197692 206678 227714 244376 255484 368426 395384 413356 455428 510968 702581 736852 826712 910856 1136729 1252427 1405162 1473704 2026343 2273458 2504854 2618711 2810324 4052686 4236899 4546916 5009708 5237422 5620648 8105372 8473798 9093832 10019416 10474844 12477061 16210744 16947596 20949688 24954122 28805821 33895192 46605889 49908244 57611642 93211778 99816488 115223284 137247671 186423556 230446568 274495342 286972403 372847112 511559501 548990684 573944806 1023119002 1097981368 1147889612 2046238004 2295779224 3156696433 4092476008 5627154511 6313392866 11254309022 11765868523 12626785732 22508618044 23531737046 25253571464 45017236088 47063474092 94126948184 129424553753 258849107506 517698215012 1035396430024