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1434271076744 = 2311294127295023
BaseRepresentation
bin10100110111110001001…
…101111101000110001000
312002010002211001212200112
4110313301031331012020
5141444341343423434
63014521154453452
7205423400666462
oct24676115750610
95063084055615
101434271076744
115032a86a4510
121b1b7a594288
13a5335b025cc
144d5c1dad132
1527496c07dce
hex14df137d188

1434271076744 has 128 divisors (see below), whose sum is σ = 3110679936000. Its totient is φ = 613760716800.

The previous prime is 1434271076683. The next prime is 1434271076747. The reversal of 1434271076744 is 4476701724341.

It is a happy number.

It is a super-3 number, since 3×14342710767443 (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1434271076692 and 1434271076701.

It is not an unprimeable number, because it can be changed into a prime (1434271076747) 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, 285538217 + ... + 285543239.

It is an arithmetic number, because the mean of its divisors is an integer number (24302187000).

Almost surely, 21434271076744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434271076744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555339968000).

1434271076744 is an abundant number, since it is smaller than the sum of its proper divisors (1676408859256).

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

1434271076744 is a wasteful number, since it uses less digits than its factorization.

1434271076744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 50.

The spelling of 1434271076744 in words is "one trillion, four hundred thirty-four billion, two hundred seventy-one million, seventy-six thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 29 41 44 58 82 88 116 164 232 319 328 451 638 902 1189 1276 1804 2378 2552 2729 3608 4756 5023 5458 9512 10046 10916 13079 20092 21832 26158 30019 40184 52316 55253 60038 79141 104632 110506 111889 120076 145667 158282 205943 221012 223778 240152 291334 316564 411886 442024 447556 582668 633128 823772 870551 895112 1165336 1230779 1602337 1647544 1741102 2265373 2461558 3204674 3244781 3482204 4530746 4923116 5972347 6409348 6489562 6964408 9061492 9846232 11944694 12818696 12979124 13707767 18122984 23889388 25958248 27415534 35692591 47778776 54831068 65695817 71385182 109662136 131391634 142770364 150785437 262783268 285540728 301570874 397525243 525566536 562018447 603141748 795050486 1124036894 1206283496 1590100972 2248073788 3180201944 4372777673 4496147576 6182202917 8745555346 12364405834 16298534963 17491110692 24728811668 32597069926 34982221384 49457623336 65194139852 130388279704 179283884593 358567769186 717135538372 1434271076744