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10400153455341 = 3213281487649559
BaseRepresentation
bin1001011101010111100101…
…1100111100101011101101
31100211020121120112221222100
42113111321130330223231
52330344003241032331
634041433050205313
72122246332526056
oct227257134745355
940736546487870
1010400153455341
11334a753548711
1211bb752423839
135a5965505430
1427d52783972d
151307ea04eae6
hex9757973caed

10400153455341 has 48 divisors (see below), whose sum is σ = 16268952510720. Its totient is φ = 6364213390080.

The previous prime is 10400153455319. The next prime is 10400153455397. The reversal of 10400153455341 is 14355435100401.

10400153455341 is a `hidden beast` number, since 1 + 0 + 40 + 0 + 1 + 534 + 55 + 34 + 1 = 666.

It is not a de Polignac number, because 10400153455341 - 222 = 10400149261037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10400153455296 and 10400153455305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400153455841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15686320 + ... + 16335878.

It is an arithmetic number, because the mean of its divisors is an integer number (338936510640).

Almost surely, 210400153455341 is an apocalyptic number.

It is an amenable number.

10400153455341 is a deficient number, since it is larger than the sum of its proper divisors (5868799055379).

10400153455341 is a wasteful number, since it uses less digits than its factorization.

10400153455341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650346 (or 650343 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 10400153455341 its reverse (14355435100401), we get a palindrome (24755588555742).

The spelling of 10400153455341 in words is "ten trillion, four hundred billion, one hundred fifty-three million, four hundred fifty-five thousand, three hundred forty-one".

Divisors: 1 3 9 13 39 117 281 487 843 1461 2529 3653 4383 6331 10959 18993 32877 56979 136847 410541 649559 1231623 1779011 1948677 5337033 5846031 8444267 16011099 25332801 75998403 182526079 316335233 547578237 949005699 1642734711 2372839027 2847017097 4112358029 7118517081 12337074087 21355551243 37011222261 88890200473 266670601419 800011804257 1155572606149 3466717818447 10400153455341