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1144061976920 = 235832331478957
BaseRepresentation
bin10000101001011111011…
…010000110000101011000
311001101000122110010000212
4100221133122012011120
5122221014331230140
62233324054350252
7145440631231442
oct20513732060530
94041018403025
101144061976920
11401215184455
1216588805b388
1383b6656bc75
143d53131d492
151eb5dda1765
hex10a5f686158

1144061976920 has 64 divisors (see below), whose sum is σ = 2616335860320. Its totient is φ = 450170543104.

The previous prime is 1144061976919. The next prime is 1144061976931. The reversal of 1144061976920 is 296791604411.

It is a super-2 number, since 2×11440619769202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34082 + ... + 1513038.

Almost surely, 21144061976920 is an apocalyptic number.

1144061976920 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 1144061976920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308167930160).

1144061976920 is an abundant number, since it is smaller than the sum of its proper divisors (1472273883400).

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

1144061976920 is a wasteful number, since it uses less digits than its factorization.

1144061976920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479284 (or 1479280 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The spelling of 1144061976920 in words is "one trillion, one hundred forty-four billion, sixty-one million, nine hundred seventy-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 233 332 415 466 664 830 932 1165 1660 1864 2330 3320 4660 9320 19339 38678 77356 96695 154712 193390 386780 773560 1478957 2957914 5915828 7394785 11831656 14789570 29579140 59158280 122753431 245506862 344596981 491013724 613767155 689193962 982027448 1227534310 1378387924 1722984905 2455068620 2756775848 3445969810 4910137240 6891939620 13783879240 28601549423 57203098846 114406197692 143007747115 228812395384 286015494230 572030988460 1144061976920