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1354354250424 = 2337101175945377
BaseRepresentation
bin10011101101010101110…
…011011101001010111000
311210110211021110110112020
4103231111303131022320
5134142204142003144
62514103131514440
7166564106116650
oct23552563351270
94713737413466
101354354250424
1148241873700a
1219a5965b8a20
139a93ac9c5b6
14497a02c5360
152536abb8419
hex13b55cdd2b8

1354354250424 has 128 divisors (see below), whose sum is σ = 3910204108800. Its totient is φ = 382900838400.

The previous prime is 1354354250351. The next prime is 1354354250461. The reversal of 1354354250424 is 4240524534531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29824024 + ... + 29869400.

It is an arithmetic number, because the mean of its divisors is an integer number (30548469600).

Almost surely, 21354354250424 is an apocalyptic number.

1354354250424 is a gapful number since it is divisible by the number (14) 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 1354354250424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955102054400).

1354354250424 is an abundant number, since it is smaller than the sum of its proper divisors (2555849858376).

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

1354354250424 is a wasteful number, since it uses less digits than its factorization.

1354354250424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47253 (or 47249 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 1354354250424 its reverse (4240524534531), we get a palindrome (5594878784955).

The spelling of 1354354250424 in words is "one trillion, three hundred fifty-four billion, three hundred fifty-four million, two hundred fifty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 1759 2121 2424 2828 3518 4242 5277 5656 7036 8484 10554 12313 14072 16968 21108 24626 36939 42216 45377 49252 73878 90754 98504 136131 147756 177659 181508 272262 295512 317639 355318 363016 532977 544524 635278 710636 952917 1065954 1089048 1243613 1270556 1421272 1905834 2131908 2487226 2541112 3730839 3811668 4263816 4583077 4974452 7461678 7623336 9166154 9948904 13749231 14923356 18332308 27498462 29846712 32081539 36664616 54996924 64163078 79818143 96244617 109993848 128326156 159636286 192489234 239454429 256652312 319272572 384978468 478908858 558727001 638545144 769956936 957817716 1117454002 1676181003 1915635432 2234908004 3352362006 4469816008 6704724012 8061632443 13409448024 16123264886 24184897329 32246529772 48369794658 56431427101 64493059544 96739589316 112862854202 169294281303 193479178632 225725708404 338588562606 451451416808 677177125212 1354354250424