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1401034704040 = 23517103139143909
BaseRepresentation
bin10100011000110100001…
…011010000010010101000
311221221022111222012120201
4110120310023100102220
5140423304341012130
62551343152001544
7203135642330626
oct24306413202250
94857274865521
101401034704040
114a01a26247a4
121a76438302b4
13a216a0a519a
144bb4bbcc516
152669dde8bca
hex146342d04a8

1401034704040 has 128 divisors (see below), whose sum is σ = 3394433952000. Its totient is φ = 518566146048.

The previous prime is 1401034704031. The next prime is 1401034704049. The reversal of 1401034704040 is 404074301041.

It is an interprime number because it is at equal distance from previous prime (1401034704031) and next prime (1401034704049).

It is not an unprimeable number, because it can be changed into a prime (1401034704049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9663606 + ... + 9807514.

It is an arithmetic number, because the mean of its divisors is an integer number (26519015250).

Almost surely, 21401034704040 is an apocalyptic number.

1401034704040 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 1401034704040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697216976000).

1401034704040 is an abundant number, since it is smaller than the sum of its proper divisors (1993399247960).

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

1401034704040 is a wasteful number, since it uses less digits than its factorization.

1401034704040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144179 (or 144175 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 1401034704040 in words is "one trillion, four hundred one billion, thirty-four million, seven hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 103 136 139 170 206 278 340 412 515 556 680 695 824 1030 1112 1390 1751 2060 2363 2780 3502 4120 4726 5560 7004 8755 9452 11815 14008 14317 17510 18904 23630 28634 35020 47260 57268 70040 71585 94520 114536 143170 143909 243389 286340 287818 486778 572680 575636 719545 973556 1151272 1216945 1439090 1947112 2433890 2446453 2878180 4867780 4892906 5756360 9735560 9785812 12232265 14822627 19571624 20003351 24464530 29645254 40006702 48929060 59290508 74113135 80013404 97858120 100016755 118581016 148226270 160026808 200033510 251984659 296452540 340056967 400067020 503969318 592905080 680113934 800134040 1007938636 1259923295 1360227868 1700284835 2015877272 2060345153 2519846590 2720455736 3400569670 4120690306 5039693180 6801139340 8241380612 10079386360 10301725765 13602278680 16482761224 20603451530 35025867601 41206903060 70051735202 82413806120 140103470404 175129338005 280206940808 350258676010 700517352020 1401034704040