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1400328976128 = 28310127765173
BaseRepresentation
bin10100011000001010000…
…111000111011100000000
311221212111100000111212220
4110120022013013130000
5140420333204214003
62551145141451040
7203112312622065
oct24301207073400
94855440014786
101400328976128
1149a970222995
121a7487410a80
13a2086b0b8c4
144bac21a2c6c
152665be94353
hex1460a1c7700

1400328976128 has 144 divisors (see below), whose sum is σ = 3777463141536. Its totient is φ = 460479283200.

The previous prime is 1400328976127. The next prime is 1400328976147. The reversal of 1400328976128 is 8216798230041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400328976127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21453750 + ... + 21518922.

Almost surely, 21400328976128 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 1400328976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888731570768).

1400328976128 is an abundant number, since it is smaller than the sum of its proper divisors (2377134165408).

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

1400328976128 is a wasteful number, since it uses less digits than its factorization.

1400328976128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65570 (or 65556 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 1400328976128 in words is "one trillion, four hundred billion, three hundred twenty-eight million, nine hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 277 303 384 404 554 606 768 808 831 1108 1212 1616 1662 2216 2424 3232 3324 4432 4848 6464 6648 8864 9696 12928 13296 17728 19392 25856 26592 27977 35456 38784 53184 55954 65173 70912 77568 83931 106368 111908 130346 167862 195519 212736 223816 260692 335724 391038 447632 521384 671448 782076 895264 1042768 1342896 1564152 1790528 2085536 2685792 3128304 3581056 4171072 5371584 6256608 6582473 7162112 8342144 10743168 12513216 13164946 16684288 18052921 19747419 21486336 25026432 26329892 36105842 39494838 50052864 52659784 54158763 72211684 78989676 105319568 108317526 144423368 157979352 210639136 216635052 288846736 315958704 421278272 433270104 577693472 631917408 842556544 866540208 1155386944 1263834816 1685113088 1733080416 1823345021 2310773888 2527669632 3466160832 3646690042 4621547776 5055339264 5470035063 6932321664 7293380084 10940070126 13864643328 14586760168 21880140252 29173520336 43760280504 58347040672 87520561008 116694081344 175041122016 233388162688 350082244032 466776325376 700164488064 1400328976128