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30434134131432 = 2333149945629323
BaseRepresentation
bin1101110101101111111111…
…10000010000001011101000
310222202110211010122200001000
412322313333300100023220
512442113101314201212
6144421125340155000
76260536133541333
oct672677760201350
9128673733580030
1030434134131432
119774053334629
1234b6409b38a60
1313c9c077981a5
1477303ca6561a
1537b9dd2191dc
hex1badffc102e8

30434134131432 has 64 divisors (see below), whose sum is σ = 85106639160000. Its totient is φ = 10076626055232.

The previous prime is 30434134131419. The next prime is 30434134131439. The reversal of 30434134131432 is 23413143143403.

30434134131432 is a `hidden beast` number, since 30 + 4 + 34 + 1 + 34 + 131 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30434134131439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472782478 + ... + 472846845.

It is an arithmetic number, because the mean of its divisors is an integer number (1329791236875).

Almost surely, 230434134131432 is an apocalyptic number.

It is an amenable number.

30434134131432 is an abundant number, since it is smaller than the sum of its proper divisors (54672505028568).

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

30434134131432 is a wasteful number, since it uses less digits than its factorization.

30434134131432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945629487 (or 945629477 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 30434134131432 its reverse (23413143143403), we get a palindrome (53847277274835).

The spelling of 30434134131432 in words is "thirty trillion, four hundred thirty-four billion, one hundred thirty-four million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 216 298 447 596 894 1192 1341 1788 2682 3576 4023 5364 8046 10728 16092 32184 945629323 1891258646 2836887969 3782517292 5673775938 7565034584 8510663907 11347551876 17021327814 22695103752 25531991721 34042655628 51063983442 68085311256 102127966884 140898769127 204255933768 281797538254 422696307381 563595076508 845392614762 1127190153016 1268088922143 1690785229524 2536177844286 3381570459048 3804266766429 5072355688572 7608533532858 10144711377144 15217067065716 30434134131432