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1940796346356 = 22327192659152443
BaseRepresentation
bin11100001111100000011…
…110100000111111110100
320212112112102201122001100
4130033200132200333310
5223244222331040411
64043331201130100
7260134512515610
oct34174036407764
96775472648040
101940796346356
116890a5a3960a
12274180929930
13111029aab05a
1469d13a94340
153574062e456
hex1c3e07a0ff4

1940796346356 has 144 divisors (see below), whose sum is σ = 5904095142400. Its totient is φ = 525127323456.

The previous prime is 1940796346351. The next prime is 1940796346409. The reversal of 1940796346356 is 6536436970491.

1940796346356 is a `hidden beast` number, since 1 + 9 + 40 + 79 + 63 + 463 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1940796346293 and 1940796346302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940796346351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12655071 + ... + 12807513.

Almost surely, 21940796346356 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 1940796346356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952047571200).

1940796346356 is an abundant number, since it is smaller than the sum of its proper divisors (3963298796044).

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

1940796346356 is a wasteful number, since it uses less digits than its factorization.

1940796346356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155138 (or 155133 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 1940796346356 in words is "one trillion, nine hundred forty billion, seven hundred ninety-six million, three hundred forty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 2659 4788 5318 7977 10636 15954 18613 23931 31908 37226 47862 50521 55839 74452 95724 101042 111678 151563 152443 167517 202084 223356 303126 304886 335034 353647 454689 457329 606252 609772 670068 707294 909378 914658 1060941 1067101 1371987 1414588 1818756 1829316 2121882 2134202 2743974 2896417 3182823 3201303 4243764 4268404 5487948 5792834 6365646 6402606 8689251 9603909 11585668 12731292 12805212 17378502 19207818 20274919 26067753 34757004 38415636 40549838 52135506 60824757 81099676 104271012 121649514 182474271 243299028 364948542 405345937 729897084 810691874 1216037811 1621383748 2432075622 2837421559 3648113433 4864151244 5674843118 7296226866 7701572803 8512264677 11349686236 14592453732 15403145606 17024529354 23104718409 25536794031 30806291212 34049058708 46209436818 51073588062 53911009621 69314155227 92418873636 102147176124 107822019242 138628310454 161733028863 215644038484 277256620908 323466057726 485199086589 646932115452 970398173178 1940796346356