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103403414040432 = 24311195839799319
BaseRepresentation
bin10111100000101101111011…
…110000110010111101110000
3111120010021021201021101202120
4113200231323300302331300
5102023130142443243212
61003530512253114240
730531435665153112
oct2740557360627560
9446107251241676
10103403414040432
112aa47161560370
12b720336188980
134590b916b493c
141b76a754913b2
15be4b604d988c
hex5e0b7bc32f70

103403414040432 has 40 divisors (see below), whose sum is σ = 291409621388160. Its totient is φ = 31334367890880.

The previous prime is 103403414040427. The next prime is 103403414040467. The reversal of 103403414040432 is 234040414304301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 103403414040393 and 103403414040402.

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, 97919899132 + ... + 97919900187.

It is an arithmetic number, because the mean of its divisors is an integer number (7285240534704).

Almost surely, 2103403414040432 is an apocalyptic number.

103403414040432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103403414040432 is an abundant number, since it is smaller than the sum of its proper divisors (188006207347728).

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

103403414040432 is a wasteful number, since it uses less digits than its factorization.

103403414040432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195839799341 (or 195839799335 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 103403414040432 its reverse (234040414304301), we get a palindrome (337443828344733).

The spelling of 103403414040432 in words is "one hundred three trillion, four hundred three billion, four hundred fourteen million, forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 195839799319 391679598638 587519397957 783359197276 1175038795914 1566718394552 2154237792509 2350077591828 3133436789104 4308475585018 4700155183656 6462713377527 8616951170036 9400310367312 12925426755054 17233902340072 25850853510108 34467804680144 51701707020216 103403414040432