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2622355146040 = 235731391375063
BaseRepresentation
bin100110001010010000100…
…011000000010100111000
3100021200202102211222201011
4212022100203000110320
5320431040404133130
65324405431403304
7360313255651000
oct46122043002470
910250672758634
102622355146040
1192115312a493
12364291523534
131603967ac136
1490ccbb21000
154833072c52a
hex262908c0538

2622355146040 has 128 divisors (see below), whose sum is σ = 6930322560000. Its totient is φ = 892624247424.

The previous prime is 2622355146031. The next prime is 2622355146077. The reversal of 2622355146040 is 406415532262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2622355145984 and 2622355146002.

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, 1219549 + ... + 2594611.

It is an arithmetic number, because the mean of its divisors is an integer number (54143145000).

Almost surely, 22622355146040 is an apocalyptic number.

2622355146040 is a gapful number since it is divisible by the number (20) 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 2622355146040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465161280000).

2622355146040 is an abundant number, since it is smaller than the sum of its proper divisors (4307967413960).

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

2622355146040 is a wasteful number, since it uses less digits than its factorization.

2622355146040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375234 (or 1375216 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 2622355146040 in words is "two trillion, six hundred twenty-two billion, three hundred fifty-five million, one hundred forty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 139 140 196 245 278 280 343 392 490 556 686 695 973 980 1112 1372 1390 1715 1946 1960 2744 2780 3430 3892 4865 5560 6811 6860 7784 9730 13622 13720 19460 27244 34055 38920 47677 54488 68110 95354 136220 190708 238385 272440 381416 476770 953540 1375063 1907080 2750126 5500252 6875315 9625441 11000504 13750630 19250882 27501260 38501764 48127205 55002520 67378087 77003528 96254410 134756174 191133757 192508820 269512348 336890435 382267514 385017640 471646609 539024696 673780870 764535028 943293218 955668785 1337936299 1347561740 1529070056 1886586436 1911337570 2358233045 2675872598 2695123480 3773172872 3822675140 4716466090 5351745196 6689681495 7645350280 9365554093 9432932180 10703490392 13379362990 18731108186 18865864360 26758725980 37462216372 46827770465 53517451960 65558878651 74924432744 93655540930 131117757302 187311081860 262235514604 327794393255 374622163720 524471029208 655588786510 1311177573020 2622355146040