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4044320201040 = 243572343904779
BaseRepresentation
bin111010110110100100010…
…001001101100101010000
3112022122002121222012010120
4322312210101031211100
51012230231432413130
612333533545430240
7565123011334200
oct72664421154520
915278077865116
104044320201040
11131a206355699
1255399679b380
132344bac21272
14dda635b2400
1570306db6910
hex3ada444d950

4044320201040 has 120 divisors (see below), whose sum is σ = 14584313910240. Its totient is φ = 924416043264.

The previous prime is 4044320201029. The next prime is 4044320201057. The reversal of 4044320201040 is 401020234404.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4044320201040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171940630 + ... + 171964149.

It is an arithmetic number, because the mean of its divisors is an integer number (121535949252).

Almost surely, 24044320201040 is an apocalyptic number.

4044320201040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044320201040 is an abundant number, since it is smaller than the sum of its proper divisors (10539993709200).

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

4044320201040 is a wasteful number, since it uses less digits than its factorization.

4044320201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343904809 (or 343904796 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4044320201040 its reverse (401020234404), we get a palindrome (4445340435444).

The spelling of 4044320201040 in words is "four trillion, forty-four billion, three hundred twenty million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 343904779 687809558 1031714337 1375619116 1719523895 2063428674 2407333453 2751238232 3439047790 4126857348 4814666906 5158571685 5502476464 6878095580 7222000359 8253714696 9629333812 10317143370 12036667265 13756191160 14444000718 16507429392 16851334171 19258667624 20634286740 24073334530 27512382320 28888001436 33702668342 36110001795 38517335248 41268573480 48146669060 50554002513 57776002872 67405336684 72220003590 82537146960 84256670855 96293338120 101108005026 115552005744 134810673368 144440007180 168513341710 192586676240 202216010052 252770012565 269621346736 288880014360 337026683420 404432020104 505540025130 577760028720 674053366840 808864040208 1011080050260 1348106733680 2022160100520 4044320201040