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40102411122440 = 235233112831095959
BaseRepresentation
bin10010001111001000100011…
…11110000011011100001000
312020222202022222112001202022
421013210101332003130020
520224014214221404230
6221142443210024012
711306206063161512
oct1107442176033410
9166882288461668
1040102411122440
111186137867a147
1245b8148418008
13194b844788574
149c8d77852bb2
154982509781e5
hex247911f83708

40102411122440 has 128 divisors (see below), whose sum is σ = 97266537676800. Its totient is φ = 14836991727360.

The previous prime is 40102411122437. The next prime is 40102411122479. The reversal of 40102411122440 is 4422111420104.

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, 36043181 + ... + 37139139.

It is an arithmetic number, because the mean of its divisors is an integer number (759894825600).

Almost surely, 240102411122440 is an apocalyptic number.

40102411122440 is a gapful number since it is divisible by the number (40) 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 40102411122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48633268838400).

40102411122440 is an abundant number, since it is smaller than the sum of its proper divisors (57164126554360).

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

40102411122440 is a wasteful number, since it uses less digits than its factorization.

40102411122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097307 (or 1097303 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 40102411122440 its reverse (4422111420104), we get a palindrome (44524522542544).

The spelling of 40102411122440 in words is "forty trillion, one hundred two billion, four hundred eleven million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 460 620 713 920 1240 1283 1426 2566 2852 3565 5132 5704 6415 7130 10264 12830 14260 25660 28520 29509 39773 51320 59018 79546 118036 147545 159092 198865 236072 295090 318184 397730 590180 795460 914779 1095959 1180360 1590920 1829558 2191918 3659116 4383836 4573895 5479795 7318232 8767672 9147790 10959590 18295580 21919180 25207057 33974729 36591160 43838360 50414114 67949458 100828228 126035285 135898916 169873645 201656456 252070570 271797832 339747290 504141140 679494580 781418767 1008282280 1358989160 1406115397 1562837534 2812230794 3125675068 3907093835 5624461588 6251350136 7030576985 7814187670 11248923176 14061153970 15628375340 28122307940 31256750680 32340654131 43589577307 56244615880 64681308262 87179154614 129362616524 161703270655 174358309228 217947886535 258725233048 323406541310 348716618456 435895773070 646813082620 871791546140 1002560278061 1293626165240 1743583092280 2005120556122 4010241112244 5012801390305 8020482224488 10025602780610 20051205561220 40102411122440