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2310223000040 = 235414335991253
BaseRepresentation
bin100001100111100100000…
…001010111000111101000
322011212002102011002101022
4201213210001113013220
5300322314042000130
64525145104312012
7325623323332304
oct41474401270750
98155072132338
102310223000040
1181083a72434a
123138a1012608
13139b1232b517
147db5b602d04
1540162de87e5
hex219e40571e8

2310223000040 has 128 divisors (see below), whose sum is σ = 5463851500800. Its totient is φ = 878121646080.

The previous prime is 2310223000039. The next prime is 2310223000061. The reversal of 2310223000040 is 400003220132.

It is a junction number, because it is equal to n+sod(n) for n = 2310222999982 and 2310223000018.

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, 25271054 + ... + 25362306.

It is an arithmetic number, because the mean of its divisors is an integer number (42686339850).

Almost surely, 22310223000040 is an apocalyptic number.

2310223000040 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 2310223000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731925750400).

2310223000040 is an abundant number, since it is smaller than the sum of its proper divisors (3153628500760).

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

2310223000040 is a wasteful number, since it uses less digits than its factorization.

2310223000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91707 (or 91703 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 2310223000040 its reverse (400003220132), we get a palindrome (2710226220172).

The spelling of 2310223000040 in words is "two trillion, three hundred ten billion, two hundred twenty-three million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 41 43 82 86 164 172 205 215 328 344 359 410 430 718 820 860 1436 1640 1720 1763 1795 2872 3526 3590 7052 7180 8815 14104 14360 14719 15437 17630 29438 30874 35260 58876 61748 70520 73595 77185 91253 117752 123496 147190 154370 182506 294380 308740 365012 456265 588760 617480 632917 730024 912530 1265834 1825060 2531668 3164585 3650120 3741373 3923879 5063336 6329170 7482746 7847758 12658340 14965492 15695516 18706865 19619395 25316680 29930984 31391032 32759827 37413730 39238790 65519654 74827460 78477580 131039308 149654920 156955160 160879039 163799135 262078616 321758078 327598270 643516156 655196540 804395195 1287032312 1310393080 1343152907 1408672561 1608790390 2686305814 2817345122 3217580780 5372611628 5634690244 6435161560 6715764535 7043362805 10745223256 11269380488 13431529070 14086725610 26863058140 28173451220 53726116280 56346902440 57755575001 115511150002 231022300004 288777875005 462044600008 577555750010 1155111500020 2310223000040