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10414714140 = 2232589650107
BaseRepresentation
bin10011011001100001…
…11110110100011100
3222212211010021222100
421230300332310130
5132312131323030
64441235245100
7516041416035
oct115460766434
928784107870
1010414714140
11446491a976
122027a49790
13c9c8b125c
1470b277a8c
1540e4cb360
hex26cc3ed1c

10414714140 has 72 divisors (see below), whose sum is σ = 31946307120. Its totient is φ = 2746047744.

The previous prime is 10414714099. The next prime is 10414714171. The reversal of 10414714140 is 4141741401.

10414714140 is a `hidden beast` number, since 10 + 41 + 471 + 4 + 140 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309034 + ... + 341073.

It is an arithmetic number, because the mean of its divisors is an integer number (443698710).

Almost surely, 210414714140 is an apocalyptic number.

10414714140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414714140 is an abundant number, since it is smaller than the sum of its proper divisors (21531592980).

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

10414714140 is a wasteful number, since it uses less digits than its factorization.

10414714140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650211 (or 650206 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 10414714140 in words is "ten billion, four hundred fourteen million, seven hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 4005 5340 8010 16020 650107 1300214 1950321 2600428 3250535 3900642 5850963 6501070 7801284 9751605 11701926 13002140 19503210 23403852 29254815 39006420 57859523 58509630 115719046 117019260 173578569 231438092 289297615 347157138 520735707 578595230 694314276 867892845 1041471414 1157190460 1735785690 2082942828 2603678535 3471571380 5207357070 10414714140