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10042235342040 = 23351122334115489
BaseRepresentation
bin1001001000100010001111…
…0111101100110011011000
31022120000202122110221010210
42102020203313230303120
52304012444221421130
633205201135011120
72054345645002266
oct222104367546330
938500678427123
1010042235342040
113221985060680
121162304369aa0
1357ac95364a85
1426a092537436
1512634ccc85b0
hex92223deccd8

10042235342040 has 128 divisors (see below), whose sum is σ = 33012877363200. Its totient is φ = 2423564267520.

The previous prime is 10042235341951. The next prime is 10042235342059. The reversal of 10042235342040 is 4024353224001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10042235341989 and 10042235342007.

It is a congruent number.

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, 16763385 + ... + 17352104.

It is an arithmetic number, because the mean of its divisors is an integer number (257913104400).

Almost surely, 210042235342040 is an apocalyptic number.

10042235342040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042235342040 is an abundant number, since it is smaller than the sum of its proper divisors (22970642021160).

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

10042235342040 is a wasteful number, since it uses less digits than its factorization.

10042235342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34115737 (or 34115733 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 10042235342040 its reverse (4024353224001), we get a palindrome (14066588566041).

The spelling of 10042235342040 in words is "ten trillion, forty-two billion, two hundred thirty-five million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 223 264 330 440 446 660 669 892 1115 1320 1338 1784 2230 2453 2676 3345 4460 4906 5352 6690 7359 8920 9812 12265 13380 14718 19624 24530 26760 29436 36795 49060 58872 73590 98120 147180 294360 34115489 68230978 102346467 136461956 170577445 204692934 272923912 341154890 375270379 409385868 511732335 682309780 750540758 818771736 1023464670 1125811137 1364619560 1501081516 1876351895 2046929340 2251622274 3002163032 3752703790 4093858680 4503244548 5629055685 7505407580 7607754047 9006489096 11258111370 15010815160 15215508094 22516222740 22823262141 30431016188 38038770235 45032445480 45646524282 60862032376 76077540470 83685294517 91293048564 114116310705 152155080940 167370589034 182586097128 228232621410 251055883551 304310161880 334741178068 418426472585 456465242820 502111767102 669482356136 836852945170 912930485640 1004223534204 1255279417755 1673705890340 2008447068408 2510558835510 3347411780680 5021117671020 10042235342040