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10140224660480 = 210517591125931
BaseRepresentation
bin1001001110001111010001…
…1111010010010000000000
31022220101200200200001211002
42103203310133102100000
52312114140003113410
633322204354111132
72064415135320365
oct223436437222000
938811620601732
1010140224660480
11325a499513982
1211792b087b4a8
135872b042a2c5
14270b0a51c46c
15128b857407a5
hex938f47d2400

10140224660480 has 88 divisors (see below), whose sum is σ = 24338506410240. Its totient is φ = 4053780357120.

The previous prime is 10140224660479. The next prime is 10140224660539. The reversal of 10140224660480 is 8406642204101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8443115 + ... + 9569045.

It is an arithmetic number, because the mean of its divisors is an integer number (276573936480).

Almost surely, 210140224660480 is an apocalyptic number.

10140224660480 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 10140224660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12169253205120).

10140224660480 is an abundant number, since it is smaller than the sum of its proper divisors (14198281749760).

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

10140224660480 is a wasteful number, since it uses less digits than its factorization.

10140224660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127715 (or 1127697 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

Adding to 10140224660480 its reverse (8406642204101), we get a palindrome (18546866864581).

The spelling of 10140224660480 in words is "ten trillion, one hundred forty billion, two hundred twenty-four million, six hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1759 2560 3518 5120 7036 8795 14072 17590 28144 35180 56288 70360 112576 140720 225152 281440 450304 562880 900608 1125760 1125931 1801216 2251520 2251862 4503040 4503724 5629655 9006080 9007448 11259310 18014896 22518620 36029792 45037240 72059584 90074480 144119168 180148960 288238336 360297920 576476672 720595840 1152953344 1441191680 1980512629 2882383360 3961025258 5764766720 7922050516 9902563145 15844101032 19805126290 31688202064 39610252580 63376404128 79220505160 126752808256 158441010320 253505616512 316882020640 507011233024 633764041280 1014022466048 1267528082560 2028044932096 2535056165120 5070112330240 10140224660480