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4231205140240 = 2451323592998133
BaseRepresentation
bin111101100100100111011…
…110101011011100010000
3112222111110221221202102101
4331210213132223130100
51023311002003441430
612555442214330144
7614460131163301
oct75444736533420
915874427852371
104231205140240
111391497aa3571
12584052059954
13249002083a20
14108b119367a8
15750e3c5bdca
hex3d9277ab710

4231205140240 has 160 divisors (see below), whose sum is σ = 11242282947840. Its totient is φ = 1469036709888.

The previous prime is 4231205140231. The next prime is 4231205140291. The reversal of 4231205140240 is 420415021324.

It is a junction number, because it is equal to n+sod(n) for n = 4231205140199 and 4231205140208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87787 + ... + 2910346.

It is an arithmetic number, because the mean of its divisors is an integer number (70264268424).

Almost surely, 24231205140240 is an apocalyptic number.

4231205140240 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 4231205140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621141473920).

4231205140240 is an abundant number, since it is smaller than the sum of its proper divisors (7011077807600).

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

4231205140240 is a wasteful number, since it uses less digits than its factorization.

4231205140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998241 (or 2998235 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 4231205140240 in words is "four trillion, two hundred thirty-one billion, two hundred five million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 59 65 80 92 104 115 118 130 184 208 230 236 260 295 299 368 460 472 520 590 598 767 920 944 1040 1180 1196 1357 1495 1534 1840 2360 2392 2714 2990 3068 3835 4720 4784 5428 5980 6136 6785 7670 10856 11960 12272 13570 15340 17641 21712 23920 27140 30680 35282 54280 61360 70564 88205 108560 141128 176410 282256 352820 705640 1411280 2998133 5996266 11992532 14990665 23985064 29981330 38975729 47970128 59962660 68957059 77951458 119925320 137914118 155902916 176889847 194878645 239850640 275828236 311805832 344785295 353779694 389757290 551656472 623611664 689570590 707559388 779514580 884449235 896441767 1103312944 1379141180 1415118776 1559029160 1768898470 1792883534 2299568011 2758282360 2830237552 3118058320 3537796940 3585767068 4068466481 4482208835 4599136022 5516564720 7075593880 7171534136 8136932962 8964417670 9198272044 11497840055 14151187760 14343068272 16273865924 17928835340 18396544088 20342332405 22995680110 32547731848 35857670680 36793088176 40684664810 45991360220 52890064253 65095463696 71715341360 81369329620 91982720440 105780128506 162738659240 183965440880 211560257012 264450321265 325477318480 423120514024 528900642530 846241028048 1057801285060 2115602570120 4231205140240