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2353102125440 = 27511334247461
BaseRepresentation
bin100010001111011111110…
…100001111100110000000
322022221202201210100102212
4202033133310033212000
5302023123121003230
65001000013001252
7332002031022563
oct42173764174600
98287681710385
102353102125440
11827a43893970
12320069183228
13140b86a23281
1481c683104da
1541322549895
hex223dfd0f980

2353102125440 has 64 divisors (see below), whose sum is σ = 6136783402320. Its totient is φ = 855673497600.

The previous prime is 2353102125431. The next prime is 2353102125481. The reversal of 2353102125440 is 445212013532.

2353102125440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×23531021254402 (a number of 26 digits) contains 22 as substring.

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 = 2353102125397 and 2353102125406.

It is a congruent number.

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, 167116691 + ... + 167130770.

Almost surely, 22353102125440 is an apocalyptic number.

2353102125440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2353102125440 is an abundant number, since it is smaller than the sum of its proper divisors (3783681276880).

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

2353102125440 is a wasteful number, since it uses less digits than its factorization.

2353102125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334247491 (or 334247479 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 2353102125440 its reverse (445212013532), we get a palindrome (2798314138972).

The spelling of 2353102125440 in words is "two trillion, three hundred fifty-three billion, one hundred two million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 334247461 668494922 1336989844 1671237305 2673979688 3342474610 3676722071 5347959376 6684949220 7353444142 10695918752 13369898440 14706888284 18383610355 21391837504 26739796880 29413776568 36767220710 42783675008 53479593760 58827553136 73534441420 106959187520 117655106272 147068882840 213918375040 235310212544 294137765680 470620425088 588275531360 1176551062720 2353102125440