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10253303250440 = 2351725639157291
BaseRepresentation
bin1001010100110100100001…
…1111110111111000001000
31100022012120022222121200112
42111031020133313320020
52320442231113003230
633450145200453452
72105530261424645
oct225151037677010
940265508877615
1010253303250440
1132a3446422208
1211971aa61a288
13594b61697073
14276396524dcc
1512baa2c52d95
hex953487f7e08

10253303250440 has 96 divisors (see below), whose sum is σ = 24511315694400. Its totient is φ = 3859358039040.

The previous prime is 10253303250371. The next prime is 10253303250469. The reversal of 10253303250440 is 4405230335201.

10253303250440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10253303250397 and 10253303250406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65108195 + ... + 65265485.

It is an arithmetic number, because the mean of its divisors is an integer number (255326205150).

Almost surely, 210253303250440 is an apocalyptic number.

10253303250440 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 10253303250440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12255657847200).

10253303250440 is an abundant number, since it is smaller than the sum of its proper divisors (14258012443960).

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

10253303250440 is a wasteful number, since it uses less digits than its factorization.

10253303250440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162975 (or 162954 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 10253303250440 its reverse (4405230335201), we get a palindrome (14658533585641).

The spelling of 10253303250440 in words is "ten trillion, two hundred fifty-three billion, three hundred three million, two hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 5639 5780 11278 11560 22556 28195 45112 56390 95863 112780 157291 191726 225560 314582 383452 479315 629164 766904 786455 958630 1258328 1572910 1629671 1917260 2673947 3145820 3259342 3834520 5347894 6291640 6518684 8148355 10695788 13037368 13369735 16296710 21391576 26739470 32593420 45457099 53478940 65186840 90914198 106957880 181828396 227285495 363656792 454570990 886963949 909141980 1773927898 1818283960 3547855796 4434819745 7095711592 8869639490 15078387133 17739278980 30156774266 35478557960 60313548532 75391935665 120627097064 150783871330 256332581261 301567742660 512665162522 603135485320 1025330325044 1281662906305 2050660650088 2563325812610 5126651625220 10253303250440