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1050414154240 = 29511113330103
BaseRepresentation
bin11110100100100011001…
…00000000001000000000
310201102022011112210220211
433102101210000020000
5114202222010413430
62122315324443504
7135614145664363
oct17222144001000
93642264483824
101050414154240
11375529451180
1214b6b16a9594
1378090a94539
1438ba9b840da
151c4cc66872a
hexf491900200

1050414154240 has 160 divisors (see below), whose sum is σ = 2771811985536. Its totient is φ = 378587381760.

The previous prime is 1050414154219. The next prime is 1050414154259. The reversal of 1050414154240 is 424514140501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10504141542402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3017029 + ... + 3347131.

Almost surely, 21050414154240 is an apocalyptic number.

1050414154240 is a gapful number since it is divisible by the number (10) 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 1050414154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385905992768).

1050414154240 is an abundant number, since it is smaller than the sum of its proper divisors (1721397831296).

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

1050414154240 is a wasteful number, since it uses less digits than its factorization.

1050414154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330250 (or 330234 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 1050414154240 its reverse (424514140501), we get a palindrome (1474928294741).

The spelling of 1050414154240 in words is "one trillion, fifty billion, four hundred fourteen million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 113 128 160 176 220 226 256 320 352 440 452 512 565 640 704 880 904 1130 1243 1280 1408 1760 1808 2260 2486 2560 2816 3520 3616 4520 4972 5632 6215 7040 7232 9040 9944 12430 14080 14464 18080 19888 24860 28160 28928 36160 39776 49720 57856 72320 79552 99440 144640 159104 198880 289280 318208 330103 397760 636416 660206 795520 1320412 1591040 1650515 2640824 3182080 3301030 3631133 5281648 6602060 7262266 10563296 13204120 14524532 18155665 21126592 26408240 29049064 36311330 37301639 42253184 52816480 58098128 72622660 74603278 84506368 105632960 116196256 145245320 149206556 169012736 186508195 211265920 232392512 290490640 298413112 373016390 410318029 422531840 464785024 580981280 596826224 746032780 820636058 845063680 929570048 1161962560 1193652448 1492065560 1641272116 1859140096 2051590145 2323925120 2387304896 2984131120 3282544232 4103180290 4647850240 4774609792 5968262240 6565088464 8206360580 9295700480 9549219584 11936524480 13130176928 16412721160 19098439168 23873048960 26260353856 32825442320 47746097920 52520707712 65650884640 95492195840 105041415424 131301769280 210082830848 262603538560 525207077120 1050414154240