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34213425150 = 23524318312897
BaseRepresentation
bin11111110111010001…
…110110111111111110
310021022101121002002110
4133313101312333332
51030032114101100
623414544234450
72320561213122
oct376721667776
9107271532073
1034213425150
111356764a783
12676a00ba26
1332c3291688
141927c77582
15d539ab250
hex7f7476ffe

34213425150 has 96 divisors (see below), whose sum is σ = 86899938048. Its totient is φ = 8903462400.

The previous prime is 34213425143. The next prime is 34213425167. The reversal of 34213425150 is 5152431243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11808502 + ... + 11811398.

It is an arithmetic number, because the mean of its divisors is an integer number (905207688).

Almost surely, 234213425150 is an apocalyptic number.

34213425150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34213425150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43449969024).

34213425150 is an abundant number, since it is smaller than the sum of its proper divisors (52686512898).

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

34213425150 is a wasteful number, since it uses less digits than its factorization.

34213425150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 34213425150 its reverse (5152431243), we get a palindrome (39365856393).

The spelling of 34213425150 in words is "thirty-four billion, two hundred thirteen million, four hundred twenty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 215 258 430 645 1075 1290 1831 2150 2897 3225 3662 5493 5794 6450 8691 9155 10986 14485 17382 18310 27465 28970 43455 45775 54930 72425 78733 86910 91550 124571 137325 144850 157466 217275 236199 249142 274650 373713 393665 434550 472398 622855 747426 787330 1180995 1245710 1868565 1968325 2361990 3114275 3737130 3936650 5304407 5904975 6228550 9342825 10608814 11809950 15913221 18685650 26522035 31826442 53044070 79566105 132610175 159132210 228089501 265220350 397830525 456179002 684268503 795661050 1140447505 1368537006 2280895010 3421342515 5702237525 6842685030 11404475050 17106712575 34213425150