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1345405432440 = 2335311193930293
BaseRepresentation
bin10011100101000000011…
…010011011001001111000
311202121201121200102001010
4103211000122123021320
5134020342242314230
62510023135353520
7166126254325416
oct23450032331170
94677647612033
101345405432440
11479646323673
121988b96828a0
1399b42ccc724
14491919d42b6
1524ee524b9b0
hex1394069b278

1345405432440 has 128 divisors (see below), whose sum is σ = 4166903347200. Its totient is φ = 347160860160.

The previous prime is 1345405432429. The next prime is 1345405432451. The reversal of 1345405432440 is 442345045431.

It is an interprime number because it is at equal distance from previous prime (1345405432429) and next prime (1345405432451).

It is a congruent number.

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, 44397934 + ... + 44428226.

It is an arithmetic number, because the mean of its divisors is an integer number (32553932400).

Almost surely, 21345405432440 is an apocalyptic number.

1345405432440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345405432440 is an abundant number, since it is smaller than the sum of its proper divisors (2821497914760).

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

1345405432440 is a wasteful number, since it uses less digits than its factorization.

1345405432440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42277 (or 42273 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 1345405432440 in words is "one trillion, three hundred forty-five billion, four hundred five million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 11939 23878 30293 35817 47756 59695 60586 71634 90879 95512 119390 121172 143268 151465 179085 181758 238780 242344 286536 302930 358170 363516 370109 454395 477560 605860 716340 727032 740218 908790 939083 1110327 1211720 1432680 1480436 1817580 1850545 1878166 2220654 2817249 2960872 3635160 3701090 3756332 4441308 4695415 5551635 5634498 7402180 7512664 8882616 9390830 11103270 11268996 14086245 14804360 18781660 22206540 22537992 28172490 37563320 44413080 56344980 112689960 361668127 723336254 1085004381 1446672508 1808340635 2170008762 2893345016 3616681270 4340017524 5425021905 7233362540 8680035048 10850043810 11211711937 14466725080 21700087620 22423423874 33635135811 43400175240 44846847748 56058559685 67270271622 89693695496 112117119370 134540543244 168175679055 224234238740 269081086488 336351358110 448468477480 672702716220 1345405432440