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1311616042350 = 235223836945427
BaseRepresentation
bin10011000101100010011…
…010001000010101101110
311122101111202222112200220
4103011202122020111232
5132442142201323400
62442314215432210
7163522032260145
oct23054232102556
94571452875626
101311616042350
11466287075799
12192249685666
13968b9846593
14476a81ba75c
15241b8b007a0
hex1316268856e

1311616042350 has 96 divisors (see below), whose sum is σ = 3394714510080. Its totient is φ = 334509795840.

The previous prime is 1311616042307. The next prime is 1311616042369. The reversal of 1311616042350 is 532406161131.

It is a happy number.

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, 28850337 + ... + 28895763.

It is an arithmetic number, because the mean of its divisors is an integer number (35361609480).

Almost surely, 21311616042350 is an apocalyptic number.

1311616042350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311616042350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697357255040).

1311616042350 is an abundant number, since it is smaller than the sum of its proper divisors (2083098467730).

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

1311616042350 is a wasteful number, since it uses less digits than its factorization.

1311616042350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53834 (or 53829 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 1311616042350 in words is "one trillion, three hundred eleven billion, six hundred sixteen million, forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1150 1725 3450 8369 16738 25107 41845 45427 50214 83690 90854 125535 136281 192487 209225 227135 251070 272562 384974 418450 454270 577461 627675 681405 962435 1044821 1135675 1154922 1255350 1362810 1924870 2089642 2271350 2887305 3134463 3407025 4812175 5224105 5774610 6268926 6814050 9624350 10448210 14436525 15672315 26120525 28873050 31344630 52241050 78361575 156723150 380178563 760357126 1140535689 1900892815 2281071378 3801785630 5702678445 8744106949 9504464075 11405356890 17488213898 19008928150 26232320847 28513392225 43720534745 52464641694 57026784450 87441069490 131161604235 218602673725 262323208470 437205347450 655808021175 1311616042350