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34223158480 = 2457431141793
BaseRepresentation
bin11111110111110110…
…111111010011010000
310021100001220120201011
4133313312333103100
51030042112032410
623415533020304
72321040022150
oct376766772320
9107301816634
1034223158480
1113572098555
126771324694
1332c52bba44
14192928c760
15d5478018a
hex7f7dbf4d0

34223158480 has 80 divisors (see below), whose sum is σ = 91147451904. Its totient is φ = 11706347520.

The previous prime is 34223158451. The next prime is 34223158517. The reversal of 34223158480 is 8485132243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170464 + ... + 312256.

Almost surely, 234223158480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34223158480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45573725952).

34223158480 is an abundant number, since it is smaller than the sum of its proper divisors (56924293424).

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

34223158480 is a wasteful number, since it uses less digits than its factorization.

34223158480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142244 (or 142238 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 34223158480 in words is "thirty-four billion, two hundred twenty-three million, one hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 431 560 862 1724 2155 3017 3448 4310 6034 6896 8620 12068 15085 17240 24136 30170 34480 48272 60340 120680 141793 241360 283586 567172 708965 992551 1134344 1417930 1985102 2268688 2835860 3970204 4962755 5671720 7940408 9925510 11343440 15880816 19851020 39702040 61112783 79404080 122225566 244451132 305563915 427789481 488902264 611127830 855578962 977804528 1222255660 1711157924 2138947405 2444511320 3422315848 4277894810 4889022640 6844631696 8555789620 17111579240 34223158480