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3042101405152 = 253137227365119
BaseRepresentation
bin101100010001001011010…
…111111010010111100000
3101202211012021111020220001
4230101023113322113200
5344320210424431102
610245304434425344
7432533052203365
oct54211327722740
911684167436801
103042101405152
11a73169a32597
124116b5732254
13190b3b072a64
14a734a5d846c
15541ea96e487
hex2c44b5fa5e0

3042101405152 has 96 divisors (see below), whose sum is σ = 6377413754880. Its totient is φ = 1425888023040.

The previous prime is 3042101405113. The next prime is 3042101405153. The reversal of 3042101405152 is 2515041012403.

3042101405152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3042101405152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042101405153) 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, 8149249 + ... + 8514367.

It is an arithmetic number, because the mean of its divisors is an integer number (66431393280).

Almost surely, 23042101405152 is an apocalyptic number.

3042101405152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042101405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188706877440).

3042101405152 is an abundant number, since it is smaller than the sum of its proper divisors (3335312349728).

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

3042101405152 is a wasteful number, since it uses less digits than its factorization.

3042101405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365424 (or 365416 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 3042101405152 its reverse (2515041012403), we get a palindrome (5557142417555).

The spelling of 3042101405152 in words is "three trillion, forty-two billion, one hundred one million, four hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 37 62 74 124 148 227 248 296 454 496 592 908 992 1147 1184 1816 2294 3632 4588 7037 7264 8399 9176 14074 16798 18352 28148 33596 36704 56296 67192 112592 134384 225184 260369 268768 365119 520738 730238 1041476 1460476 2082952 2920952 4165904 5841904 8331808 11318689 11683808 13509403 22637378 27018806 45274756 54037612 82882013 90549512 108075224 165764026 181099024 216150448 331528052 362198048 418791493 432300896 663056104 837582986 1326112208 1675165972 2569342403 2652224416 3066634481 3350331944 5138684806 6133268962 6700663888 10277369612 12266537924 13401327776 20554739224 24533075848 41109478448 49066151696 82218956896 95065668911 98132303392 190131337822 380262675644 760525351288 1521050702576 3042101405152