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1314162337740 = 223573784566431
BaseRepresentation
bin10011000111111010001…
…011011110011111001100
311122122002020021202022120
4103013322023132133030
5133012401024301430
62443415015412540
7163642111363650
oct23077213363714
94578066252276
101314162337740
1146737341a14a
1219283a384150
1396c04234b45
144786a43ca60
15242b7423610
hex131fa2de7cc

1314162337740 has 96 divisors (see below), whose sum is σ = 4318976815104. Its totient is φ = 292261582080.

The previous prime is 1314162337729. The next prime is 1314162337783. The reversal of 1314162337740 is 477332614131.

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

It is a junction number, because it is equal to n+sod(n) for n = 1314162337692 and 1314162337701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42267676 + ... + 42298755.

It is an arithmetic number, because the mean of its divisors is an integer number (44989341824).

Almost surely, 21314162337740 is an apocalyptic number.

1314162337740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314162337740 is an abundant number, since it is smaller than the sum of its proper divisors (3004814477364).

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

1314162337740 is a wasteful number, since it uses less digits than its factorization.

1314162337740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84566487 (or 84566485 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 1314162337740 in words is "one trillion, three hundred fourteen billion, one hundred sixty-two million, three hundred thirty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 15540 84566431 169132862 253699293 338265724 422832155 507398586 591965017 845664310 1014797172 1183930034 1268496465 1691328620 1775895051 2367860068 2536992930 2959825085 3128957947 3551790102 5073985860 5919650170 6257915894 7103580204 8879475255 9386873841 11839300340 12515831788 15644789735 17758950510 18773747682 21902705629 31289579470 35517901020 37547495364 43805411258 46934369205 62579158940 65708116887 87610822516 93868738410 109513528145 131416233774 187737476820 219027056290 262832467548 328540584435 438054112580 657081168870 1314162337740