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1355434162425 = 335271032785091
BaseRepresentation
bin10011101110010110001…
…010111111100011111001
311210120121112111200022000
4103232112022333203321
5134201412121144200
62514402230051213
7166632631166310
oct23562612774371
94716545450260
101355434162425
11482922280972
1219a8381a9b09
139aa80938a95
14498638b5277
15253d08d2300
hex13b962bf8f9

1355434162425 has 96 divisors (see below), whose sum is σ = 2873323714560. Its totient is φ = 613611028800.

The previous prime is 1355434162409. The next prime is 1355434162441. The reversal of 1355434162425 is 5242614345531.

1355434162425 is a `hidden beast` number, since 1 + 3 + 5 + 543 + 4 + 1 + 62 + 42 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1355434162409) and next prime (1355434162441).

It is not a de Polignac number, because 1355434162425 - 24 = 1355434162409 is a prime.

It is a super-2 number, since 2×13554341624252 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 905871 + ... + 1879220.

It is an arithmetic number, because the mean of its divisors is an integer number (29930455360).

Almost surely, 21355434162425 is an apocalyptic number.

1355434162425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1355434162425 is an abundant number, since it is smaller than the sum of its proper divisors (1517889552135).

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

1355434162425 is a wasteful number, since it uses less digits than its factorization.

1355434162425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785220 (or 2785209 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 1355434162425 in words is "one trillion, three hundred fifty-five billion, four hundred thirty-four million, one hundred sixty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 103 105 135 175 189 225 309 315 515 525 675 721 927 945 1545 1575 2163 2575 2781 3605 4635 4725 6489 7725 10815 13905 18025 19467 23175 32445 54075 69525 97335 162225 486675 2785091 8355273 13925455 19495637 25065819 41776365 58486911 69627275 75197457 97478185 125329095 175460733 208881825 286864373 292434555 375987285 487390925 526382199 626645475 860593119 877303665 1434321865 1462172775 1879936425 2008050611 2581779357 2631910995 4302965595 4386518325 6024151833 7171609325 7745338071 10040253055 12908896785 13159554975 18072455499 21514827975 30120759165 38726690355 50201265275 54217366497 64544483925 90362277495 150603795825 193633451775 271086832485 451811387475 1355434162425