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1407132051120 = 243251997978643
BaseRepresentation
bin10100011110011111100…
…110110010011010110000
311222112001110012112100100
4110132133212302122300
5141023301301113440
62554232203152400
7203443021042005
oct24363746623260
94875043175310
101407132051120
114a28413a4914
121a8865815700
13a28cc396073
144c1698db8ac
1526909360230
hex1479f9b26b0

1407132051120 has 120 divisors (see below), whose sum is σ = 4727989661616. Its totient is φ = 375046930944.

The previous prime is 1407132051113. The next prime is 1407132051133. The reversal of 1407132051120 is 211502317041.

1407132051120 is a `hidden beast` number, since 1 + 40 + 71 + 3 + 20 + 511 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 948519 + ... + 1927161.

Almost surely, 21407132051120 is an apocalyptic number.

1407132051120 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 1407132051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363994830808).

1407132051120 is an abundant number, since it is smaller than the sum of its proper divisors (3320857610496).

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

1407132051120 is a wasteful number, since it uses less digits than its factorization.

1407132051120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980659 (or 980650 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 1407132051120 its reverse (211502317041), we get a palindrome (1618634368161).

The spelling of 1407132051120 in words is "one trillion, four hundred seven billion, one hundred thirty-two million, fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1997 3994 5991 7988 9985 11982 15976 17973 19970 23964 29955 31952 35946 39940 47928 59910 71892 79880 89865 95856 119820 143784 159760 179730 239640 287568 359460 479280 718920 978643 1437840 1957286 2935929 3914572 4893215 5871858 7829144 8807787 9786430 11743716 14679645 15658288 17615574 19572860 23487432 29359290 35231148 39145720 44038935 46974864 58718580 70462296 78291440 88077870 117437160 140924592 176155740 234874320 352311480 704622960 1954350071 3908700142 5863050213 7817400284 9771750355 11726100426 15634800568 17589150639 19543500710 23452200852 29315251065 31269601136 35178301278 39087001420 46904401704 58630502130 70356602556 78174002840 87945753195 93808803408 117261004260 140713205112 156348005680 175891506390 234522008520 281426410224 351783012780 469044017040 703566025560 1407132051120