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250401004144 = 24175359833547
BaseRepresentation
bin1110100100110100010…
…0000001101001110000
3212221022212122222101121
43221031010001221300
513100310124113034
6311011014312024
724043112263024
oct3511504015160
9787285588347
10250401004144
1197215925635
1240642958614
131a7c7192555
14c195b98384
1567a812a1b4
hex3a4d101a70

250401004144 has 160 divisors (see below), whose sum is σ = 538818013440. Its totient is φ = 112251949056.

The previous prime is 250401004121. The next prime is 250401004153. The reversal of 250401004144 is 441400104052.

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, 70593379 + ... + 70596925.

It is an arithmetic number, because the mean of its divisors is an integer number (3367612584).

Almost surely, 2250401004144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250401004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269409006720).

250401004144 is an abundant number, since it is smaller than the sum of its proper divisors (288417009296).

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

250401004144 is a wasteful number, since it uses less digits than its factorization.

250401004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 250401004144 its reverse (441400104052), we get a palindrome (691801108196).

The spelling of 250401004144 in words is "two hundred fifty billion, four hundred one million, four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 53 59 68 83 106 118 136 166 212 236 272 332 424 472 664 848 901 944 1003 1328 1411 1802 2006 2822 3127 3547 3604 4012 4399 4897 5644 6254 7094 7208 8024 8798 9794 11288 12508 14188 14416 16048 17596 19588 22576 25016 28376 35192 39176 50032 53159 56752 60299 70384 74783 78352 83249 106318 120598 149566 166498 187991 209273 212636 241196 259541 294401 299132 332996 375982 418546 425272 482392 519082 588802 598264 665992 751964 837092 850544 964784 1038164 1177604 1196528 1331984 1503928 1674184 2076328 2355208 3007856 3195847 3348368 3557641 4152656 4412197 4710416 5004817 6391694 7115282 8824394 10009634 11091469 12783388 14230564 15603253 17369659 17648788 20019268 22182938 25566776 28461128 31206506 34739318 35297576 40038536 44365876 51133552 56922256 62413012 69478636 70595152 80077072 88731752 124826024 138957272 177463504 188554973 249652048 265255301 277914544 295284203 377109946 530510602 590568406 754219892 920591927 1061021204 1181136812 1508439784 1841183854 2122042408 2362273624 3016879568 3682367708 4244084816 4724547248 7364735416 14729470832 15650062759 31300125518 62600251036 125200502072 250401004144