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251083423040 = 2651771650071
BaseRepresentation
bin1110100111010110111…
…1001111110101000000
3220000002102202110010112
43221311233033311000
513103204324014130
6311202433050452
724066036611342
oct3516557176500
9800072673115
10251083423040
1197536056a9a
12407b33b6a28
131a8a5687508
14c21c677292
1567e7ec8495
hex3a75bcfd40

251083423040 has 112 divisors (see below), whose sum is σ = 641979903744. Its totient is φ = 93194035200.

The previous prime is 251083423033. The next prime is 251083423103. The reversal of 251083423040 is 40324380152.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 251083422988 and 251083423006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61205 + ... + 711275.

Almost surely, 2251083423040 is an apocalyptic number.

251083423040 is a gapful number since it is divisible by the number (20) 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 251083423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320989951872).

251083423040 is an abundant number, since it is smaller than the sum of its proper divisors (390896480704).

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

251083423040 is a wasteful number, since it uses less digits than its factorization.

251083423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650176 (or 650166 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 251083423040 in words is "two hundred fifty-one billion, eighty-three million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 71 80 85 136 142 160 170 272 284 320 340 355 544 568 680 710 1088 1136 1207 1360 1420 2272 2414 2720 2840 4544 4828 5440 5680 6035 9656 11360 12070 19312 22720 24140 38624 48280 77248 96560 193120 386240 650071 1300142 2600284 3250355 5200568 6500710 10401136 11051207 13001420 20802272 22102414 26002840 41604544 44204828 46155041 52005680 55256035 88409656 92310082 104011360 110512070 176819312 184620164 208022720 221024140 230775205 353638624 369240328 442048280 461550410 707277248 738480656 784635697 884096560 923100820 1476961312 1569271394 1768193120 1846201640 2953922624 3138542788 3536386240 3692403280 3923178485 6277085576 7384806560 7846356970 12554171152 14769613120 15692713940 25108342304 31385427880 50216684608 62770855760 125541711520 251083423040