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1401355742424 = 23311233195111677
BaseRepresentation
bin10100011001000111010…
…011111010110011011000
311221222010220001122110020
4110121013103322303120
5140424434032224144
62551435100550440
7203146621162611
oct24310723726330
94858126048406
101401355742424
114a0347868680
121a7713252420
13a21bb75ac21
144bb7c6bac08
15266bc1b1419
hex146474facd8

1401355742424 has 128 divisors (see below), whose sum is σ = 3840578426880. Its totient is φ = 422577792000.

The previous prime is 1401355742341. The next prime is 1401355742497. The reversal of 1401355742424 is 4242475531041.

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, 120004074 + ... + 120015750.

It is an arithmetic number, because the mean of its divisors is an integer number (30004518960).

Almost surely, 21401355742424 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 1401355742424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920289213440).

1401355742424 is an abundant number, since it is smaller than the sum of its proper divisors (2439222684456).

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

1401355742424 is a wasteful number, since it uses less digits than its factorization.

1401355742424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13881 (or 13877 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 1401355742424 in words is "one trillion, four hundred one billion, three hundred fifty-five million, seven hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 233 264 466 699 932 1398 1864 1951 2563 2796 3902 5126 5592 5853 7689 7804 10252 11677 11706 15378 15608 20504 21461 23354 23412 30756 35031 42922 46708 46824 61512 64383 70062 85844 93416 128447 128766 140124 171688 256894 257532 280248 385341 454583 513788 515064 770682 909166 1027576 1363749 1541364 1818332 2720741 2727498 3082728 3636664 5000413 5441482 5454996 8162223 10000826 10882964 10909992 15001239 16324446 20001652 21765928 22781827 29928151 30002478 32648892 40003304 45563654 59856302 60004956 65297784 68345481 89784453 91127308 119712604 120009912 136690962 179568906 182254616 239425208 250600097 273381924 359137812 501200194 546763848 718275624 751800291 1002400388 1503600582 2004800776 3007201164 5308165691 6014402328 10616331382 15924497073 21232662764 31848994146 42465325528 58389822601 63697988292 116779645202 127395976584 175169467803 233559290404 350338935606 467118580808 700677871212 1401355742424