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2401410444240 = 243531794085699
BaseRepresentation
bin100010111100011111001…
…101110110101111010000
322111120110102102012201110
4202330133031312233100
5303321042033203430
65035105343533320
7335332121661303
oct42743715665720
98446412365643
102401410444240
11846483655885
123294ab5ba240
131455b5169cb2
148432c0c2b3a
15426ed6307b0
hex22f1f376bd0

2401410444240 has 160 divisors (see below), whose sum is σ = 7781787648000. Its totient is φ = 611874132480.

The previous prime is 2401410444197. The next prime is 2401410444287. The reversal of 2401410444240 is 424440141042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2401410444198 and 2401410444207.

It is a congruent number.

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, 1455090 + ... + 2630609.

It is an arithmetic number, because the mean of its divisors is an integer number (48636172800).

Almost surely, 22401410444240 is an apocalyptic number.

2401410444240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401410444240 is an abundant number, since it is smaller than the sum of its proper divisors (5380377203760).

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

2401410444240 is a wasteful number, since it uses less digits than its factorization.

2401410444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085825 (or 4085819 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 2401410444240 its reverse (424440141042), we get a palindrome (2825850585282).

The spelling of 2401410444240 in words is "two trillion, four hundred one billion, four hundred ten million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 79 80 93 120 124 155 158 186 237 240 248 310 316 372 395 465 474 496 620 632 744 790 930 948 1185 1240 1264 1488 1580 1860 1896 2370 2449 2480 3160 3720 3792 4740 4898 6320 7347 7440 9480 9796 12245 14694 18960 19592 24490 29388 36735 39184 48980 58776 73470 97960 117552 146940 195920 293880 587760 4085699 8171398 12257097 16342796 20428495 24514194 32685592 40856990 49028388 61285485 65371184 81713980 98056776 122570970 126656669 163427960 196113552 245141940 253313338 322770221 326855920 379970007 490283880 506626676 633283345 645540442 759940014 968310663 980567760 1013253352 1266566690 1291080884 1519880028 1613851105 1899850035 1936621326 2026506704 2533133380 2582161768 3039760056 3227702210 3799700070 3873242652 4841553315 5066266760 5164323536 6079520112 6455404420 7599400140 7746485304 9683106630 10005876851 10132533520 12910808840 15198800280 15492970608 19366213260 20011753702 25821617680 30017630553 30397600560 38732426520 40023507404 50029384255 60035261106 77464853040 80047014808 100058768510 120070522212 150088152765 160094029616 200117537020 240141044424 300176305530 400235074040 480282088848 600352611060 800470148080 1200705222120 2401410444240