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3440135044332 = 2232723981160497
BaseRepresentation
bin110010000011111000000…
…001101111110011101100
3110011212120221000010221100
4302003320001233303230
5422330344032404312
611152213133003100
7503353516256130
oct62037001576354
913155527003840
103440135044332
111106a536039a8
1247687a323490
131bc5321b428c
14bc70957b3c0
155e7448ec5dc
hex320f806fcec

3440135044332 has 144 divisors (see below), whose sum is σ = 10371490601472. Its totient is φ = 940049763840.

The previous prime is 3440135044321. The next prime is 3440135044343. The reversal of 3440135044332 is 2334405310443.

It is a happy number.

3440135044332 is a `hidden beast` number, since 34 + 40 + 13 + 504 + 43 + 32 = 666.

3440135044332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3440135044321) and next prime (3440135044343).

It is a super-2 number, since 2×34401350443322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56834308 + ... + 56894804.

It is an arithmetic number, because the mean of its divisors is an integer number (72024240288).

Almost surely, 23440135044332 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 3440135044332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185745300736).

3440135044332 is an abundant number, since it is smaller than the sum of its proper divisors (6931355557140).

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

3440135044332 is a wasteful number, since it uses less digits than its factorization.

3440135044332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70348 (or 70343 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 3440135044332 in words is "three trillion, four hundred forty billion, one hundred thirty-five million, forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 9811 19622 29433 39244 58866 60497 68677 88299 117732 120994 137354 176598 181491 206031 225653 241988 274708 353196 362982 412062 423479 451306 544473 618093 676959 725964 824124 846958 902612 1088946 1236186 1270437 1353918 1391431 1579571 1693916 2030877 2177892 2472372 2540874 2707836 2782862 3159142 3811311 4061754 4174293 4738713 5081748 5565724 6318284 7622622 8123508 8348586 9477426 9740017 12522879 14216139 15245244 16697172 18954852 19480034 25045758 28432278 29220051 38960068 50091516 56864556 58440102 87660153 116880204 175320306 350640612 593536067 1187072134 1780608201 2374144268 3561216402 4154752469 5341824603 7122432804 8309504938 10683649206 12464257407 13651329541 16619009876 21367298412 24928514814 27302659082 37392772221 40953988623 49857029628 54605318164 74785544442 81907977246 95559306787 122861965869 149571088884 163815954492 191118613574 245723931738 286677920361 382237227148 491447863476 573355840722 860033761083 1146711681444 1720067522166 3440135044332