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10140425040 = 2435418911579
BaseRepresentation
bin10010111000110101…
…01001101101010000
3222011200222222001210
421130122221231100
5131231422100130
64354120300120
7506201122254
oct113432515520
928150888053
1010140425040
114334007469
121b70011640
13c57b16105
146c2a78264
153e539a5b0
hex25c6a9b50

10140425040 has 160 divisors (see below), whose sum is σ = 32566665600. Its totient is φ = 2608291840.

The previous prime is 10140425027. The next prime is 10140425063. The reversal of 10140425040 is 4052404101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10140424998 and 10140425016.

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, 869971 + ... + 881549.

It is an arithmetic number, because the mean of its divisors is an integer number (203541660).

Almost surely, 210140425040 is an apocalyptic number.

10140425040 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 10140425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16283332800).

10140425040 is an abundant number, since it is smaller than the sum of its proper divisors (22426240560).

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

10140425040 is a wasteful number, since it uses less digits than its factorization.

10140425040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11725 (or 11719 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 10140425040 its reverse (4052404101), we get a palindrome (14192829141).

The spelling of 10140425040 in words is "ten billion, one hundred forty million, four hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 89 120 123 164 178 205 240 246 267 328 356 410 445 492 534 615 656 712 820 890 984 1068 1230 1335 1424 1640 1780 1968 2136 2460 2670 3280 3560 3649 4272 4920 5340 7120 7298 9840 10680 10947 11579 14596 18245 21360 21894 23158 29192 34737 36490 43788 46316 54735 57895 58384 69474 72980 87576 92632 109470 115790 138948 145960 173685 175152 185264 218940 231580 277896 291920 347370 437880 463160 474739 555792 694740 875760 926320 949478 1030531 1389480 1424217 1898956 2061062 2373695 2778960 2848434 3091593 3797912 4122124 4747390 5152655 5696868 6183186 7121085 7595824 8244248 9494780 10305310 11393736 12366372 14242170 15457965 16488496 18989560 20610620 22787472 24732744 28484340 30915930 37979120 41221240 42251771 49465488 56968680 61831860 82442480 84503542 113937360 123663720 126755313 169007084 211258855 247327440 253510626 338014168 422517710 507021252 633776565 676028336 845035420 1014042504 1267553130 1690070840 2028085008 2535106260 3380141680 5070212520 10140425040