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1390970090448 = 243261645124547
BaseRepresentation
bin10100001111011100010…
…001110011001111010000
311220222100002121212021100
4110033130101303033100
5140242201320343243
62543000340224400
7202331351455101
oct24173421631720
94828302555240
101390970090448
114969a8398624
121a56b509b100
13a1224bb3b23
144b47524a3a8
15262b05260d3
hex143dc4733d0

1390970090448 has 120 divisors (see below), whose sum is σ = 3957375028256. Its totient is φ = 455966496000.

The previous prime is 1390970090443. The next prime is 1390970090449. The reversal of 1390970090448 is 8440900790931.

It is a junction number, because it is equal to n+sod(n) for n = 1390970090394 and 1390970090403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390970090443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56653311 + ... + 56677857.

Almost surely, 21390970090448 is an apocalyptic number.

1390970090448 is a gapful number since it is divisible by the number (18) 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 1390970090448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978687514128).

1390970090448 is an abundant number, since it is smaller than the sum of its proper divisors (2566404937808).

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

1390970090448 is a wasteful number, since it uses less digits than its factorization.

1390970090448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31073 (or 31064 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1390970090448 in words is "one trillion, three hundred ninety billion, nine hundred seventy million, ninety thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 6451 8784 12902 19353 24547 25804 38706 49094 51608 58059 73641 77412 98188 103216 116118 147282 154824 196376 220923 232236 294564 309648 392752 393511 441846 464472 589128 787022 883692 928944 1178256 1180533 1497367 1574044 1767384 2361066 2994734 3148088 3534768 3541599 4492101 4722132 5989468 6296176 7083198 8984202 9444264 11978936 13476303 14166396 17968404 18888528 23957872 26952606 28332792 35936808 53905212 56665584 71873616 107810424 158352697 215620848 316705394 475058091 633410788 950116182 1266821576 1425174273 1900232364 2533643152 2850348546 3800464728 5700697092 7600929456 9659514517 11401394184 19319029034 22802788368 28978543551 38638058068 57957087102 77276116136 86935630653 115914174204 154552232272 173871261306 231828348408 347742522612 463656696816 695485045224 1390970090448