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2401412244432 = 2431941591088519
BaseRepresentation
bin100010111100011111010…
…100101110001111010000
322111120110112210200010020
4202330133110232033100
5303321043013310212
65035105450303440
7335332143166545
oct42743724561720
98446415720106
102401412244432
11846484675343
123294b0127b80
131455b564a4b6
148432c430bcc
15426ed888d8c
hex22f1f52e3d0

2401412244432 has 160 divisors (see below), whose sum is σ = 6802814592000. Its totient is φ = 727304186880.

The previous prime is 2401412244431. The next prime is 2401412244433. The reversal of 2401412244432 is 2344422141042.

It is an interprime number because it is at equal distance from previous prime (2401412244431) and next prime (2401412244433).

It is a junction number, because it is equal to n+sod(n) for n = 2401412244393 and 2401412244402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401412244431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1661869 + ... + 2750387.

It is an arithmetic number, because the mean of its divisors is an integer number (42517591200).

Almost surely, 22401412244432 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 2401412244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401407296000).

2401412244432 is an abundant number, since it is smaller than the sum of its proper divisors (4401402347568).

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

2401412244432 is a wasteful number, since it uses less digits than its factorization.

2401412244432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088649 (or 1088643 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 2401412244432 its reverse (2344422141042), we get a palindrome (4745834385474).

The spelling of 2401412244432 in words is "two trillion, four hundred one billion, four hundred twelve million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 59 76 82 114 118 123 152 164 177 228 236 246 304 328 354 456 472 492 656 708 779 912 944 984 1121 1416 1558 1968 2242 2337 2419 2832 3116 3363 4484 4674 4838 6232 6726 7257 8968 9348 9676 12464 13452 14514 17936 18696 19352 26904 29028 37392 38704 45961 53808 58056 91922 116112 137883 183844 275766 367688 551532 735376 1088519 1103064 2177038 2206128 3265557 4354076 6531114 8708152 13062228 17416304 20681861 26124456 41363722 44629279 52248912 62045583 64222621 82727444 89258558 124091166 128445242 133887837 165454888 178517116 192667863 248182332 256890484 267775674 330909776 357034232 385335726 496364664 513780968 535551348 714068464 770671452 847956301 992729328 1027561936 1071102696 1220229799 1541342904 1695912602 2142205392 2440459598 2543868903 2633127461 3082685808 3391825204 3660689397 4880919196 5087737806 5266254922 6783650408 7321378794 7899382383 9761838392 10175475612 10532509844 13567300816 14642757588 15798764766 19523676784 20350951224 21065019688 29285515176 31597529532 40701902448 42130039376 50029421759 58571030352 63195059064 100058843518 126390118128 150088265277 200117687036 300176530554 400235374072 600353061108 800470748144 1200706122216 2401412244432