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1340144055504 = 2432233371200691
BaseRepresentation
bin10011100000000110110…
…011110111010011010000
311202010010221110202201200
4103200012303313103100
5133424103334234004
62503353110031200
7165552006343152
oct23400663672320
94663127422650
101340144055504
11477396422271
1219788b648500
13994b4c76c37
1448c12d34ad2
1524cd83b5239
hex13806cf74d0

1340144055504 has 120 divisors (see below), whose sum is σ = 3925225442112. Its totient is φ = 426024023040.

The previous prime is 1340144055499. The next prime is 1340144055583. The reversal of 1340144055504 is 4055504410431.

1340144055504 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 144 + 0 + 5 + 5 + 504 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515799 + ... + 1716489.

Almost surely, 21340144055504 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 1340144055504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962612721056).

1340144055504 is an abundant number, since it is smaller than the sum of its proper divisors (2585081386608).

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

1340144055504 is a wasteful number, since it uses less digits than its factorization.

1340144055504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201065 (or 1201056 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 1340144055504 its reverse (4055504410431), we get a palindrome (5395648465935).

The spelling of 1340144055504 in words is "one trillion, three hundred forty billion, one hundred forty-four million, fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 337 368 414 552 674 828 1011 1104 1348 1656 2022 2696 3033 3312 4044 5392 6066 7751 8088 12132 15502 16176 23253 24264 31004 46506 48528 62008 69759 93012 124016 139518 186024 279036 372048 558072 1116144 1200691 2401382 3602073 4802764 7204146 9605528 10806219 14408292 19211056 21612438 27615893 28816584 43224876 55231786 57633168 82847679 86449752 110463572 165695358 172899504 220927144 248543037 331390716 404632867 441854288 497086074 662781432 809265734 994172148 1213898601 1325562864 1618531468 1988344296 2427797202 3237062936 3641695803 3976688592 4855594404 6474125872 7283391606 9306555941 9711188808 14566783212 18613111882 19422377616 27919667823 29133566424 37226223764 55839335646 58267132848 74452447528 83759003469 111678671292 148904895056 167518006938 223357342584 335036013876 446714685168 670072027752 1340144055504