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1401431134005 = 335723272923627
BaseRepresentation
bin10100011001001011110…
…011100000111100110101
311221222100010220221021000
4110121023303200330311
5140430112332242010
62551450352513513
7203151525043260
oct24311363407465
94858303827230
101401431134005
114a0386381471
121a773454b899
13a2201266826
144bb88703cd7
15266c3b047c0
hex1464bce0f35

1401431134005 has 128 divisors (see below), whose sum is σ = 2972364595200. Its totient is φ = 612549222912.

The previous prime is 1401431133967. The next prime is 1401431134021. The reversal of 1401431134005 is 5004311341041.

1401431134005 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 4 + 311 + 340 + 0 + 5 = 666.

It is not a de Polignac number, because 1401431134005 - 212 = 1401431129909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1401431134005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59303002 + ... + 59326628.

It is an arithmetic number, because the mean of its divisors is an integer number (23221598400).

Almost surely, 21401431134005 is an apocalyptic number.

1401431134005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1401431134005 is an abundant number, since it is smaller than the sum of its proper divisors (1570933461195).

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

1401431134005 is a wasteful number, since it uses less digits than its factorization.

1401431134005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26400 (or 26394 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1401431134005 its reverse (5004311341041), we get a palindrome (6405742475046).

The spelling of 1401431134005 in words is "one trillion, four hundred one billion, four hundred thirty-one million, one hundred thirty-four thousand, five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 105 115 135 161 189 207 315 345 483 621 805 945 1035 1449 2415 2729 3105 4347 7245 8187 13645 19103 21735 23627 24561 40935 57309 62767 70881 73683 95515 118135 122805 165389 171927 188301 212643 286545 313835 354405 368415 439369 496167 515781 543421 564903 637929 826945 859635 941505 1063215 1318107 1488501 1630263 1694709 2196845 2480835 2578905 2717105 2824515 3189645 3803947 3954321 4465503 4890789 6590535 7442505 8151315 8473545 11411841 11862963 14672367 19019735 19771605 22327515 24453945 34235523 57059205 59314815 64478083 73361835 102706569 171177615 193434249 322390415 451346581 513532845 580302747 967171245 1354039743 1482995909 1740908241 2256732905 2901513735 4062119229 4448987727 6770198715 7414979545 8704541205 10380971363 12186357687 13346963181 20310596145 22244938635 31142914089 40040889543 51904856815 60931788435 66734815905 93428742267 155714570445 200204447715 280286226801 467143711335 1401431134005