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1144238164420 = 2251347179523109
BaseRepresentation
bin10000101001101001111…
…010001100100111000100
311001101110220222100211211
4100221221322030213010
5122221344432230140
62233353350541204
7145445200630561
oct20515172144704
94041426870754
101144238164420
114012a568275a
12165917067804
1383b93c09720
143d54a8a3868
151eb6e5a52ea
hex10a69e8c9c4

1144238164420 has 96 divisors (see below), whose sum is σ = 2657566195200. Its totient is φ = 411187997184.

The previous prime is 1144238164411. The next prime is 1144238164469. The reversal of 1144238164420 is 244618324411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1925826 + ... + 2448934.

It is an arithmetic number, because the mean of its divisors is an integer number (27682981200).

Almost surely, 21144238164420 is an apocalyptic number.

1144238164420 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 1144238164420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328783097600).

1144238164420 is an abundant number, since it is smaller than the sum of its proper divisors (1513328030780).

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

1144238164420 is a wasteful number, since it uses less digits than its factorization.

1144238164420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523357 (or 523355 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 1144238164420 in words is "one trillion, one hundred forty-four billion, two hundred thirty-eight million, one hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 179 188 235 260 358 470 611 716 895 940 1222 1790 2327 2444 3055 3580 4654 6110 8413 9308 11635 12220 16826 23270 33652 42065 46540 84130 109369 168260 218738 437476 523109 546845 1046218 1093690 2092436 2187380 2615545 5231090 6800417 10462180 13600834 24586123 27201668 34002085 49172246 68004170 93636511 98344492 122930615 136008340 187273022 245861230 319619599 374546044 468182555 491722460 639239198 936365110 1217274643 1278478396 1598097995 1872730220 2434549286 3196195990 4400916017 4869098572 6086373215 6392391980 8801832034 12172746430 17603664068 22004580085 24345492860 44009160170 57211908221 88018320340 114423816442 228847632884 286059541105 572119082210 1144238164420