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1201444412040 = 233258340208983
BaseRepresentation
bin10001011110111011101…
…010101101101010001000
311020212010201121211210200
4101132323222231222020
5124141024232141130
62315534055212200
7152541625000605
oct21367352555210
94225121554720
101201444412040
1142359105a254
12174a21377060
13893ac9162a2
14422162bb6ac
15213bb904760
hex117bbaada88

1201444412040 has 96 divisors (see below), whose sum is σ = 3951738947520. Its totient is φ = 316525106304.

The previous prime is 1201444412039. The next prime is 1201444412059. The reversal of 1201444412040 is 402144441021.

It is a happy number.

1201444412040 is a `hidden beast` number, since 1 + 2 + 0 + 14 + 4 + 441 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1201444411995 and 1201444412013.

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, 20074612 + ... + 20134371.

It is an arithmetic number, because the mean of its divisors is an integer number (41163947370).

Almost surely, 21201444412040 is an apocalyptic number.

1201444412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201444412040 is an abundant number, since it is smaller than the sum of its proper divisors (2750294535480).

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

1201444412040 is a wasteful number, since it uses less digits than its factorization.

1201444412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40209083 (or 40209076 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1201444412040 its reverse (402144441021), we get a palindrome (1603588853061).

The spelling of 1201444412040 in words is "one trillion, two hundred one billion, four hundred forty-four million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1660 1992 2490 2988 3320 3735 4980 5976 7470 9960 14940 29880 40208983 80417966 120626949 160835932 201044915 241253898 321671864 361880847 402089830 482507796 603134745 723761694 804179660 965015592 1206269490 1447523388 1608359320 1809404235 2412538980 2895046776 3337345589 3618808470 4825077960 6674691178 7237616940 10012036767 13349382356 14475233880 16686727945 20024073534 26698764712 30036110301 33373455890 40048147068 50060183835 60072220602 66746911780 80096294136 100120367670 120144441204 133493823560 150180551505 200240735340 240288882408 300361103010 400481470680 600722206020 1201444412040