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141531215405440 = 275743734692771
BaseRepresentation
bin100000001011100011001101…
…110100011010000110000000
3200120010020210202011120112011
4200023203031310122012000
5122022321412120433230
61221002313123142304
741545202312343430
oct4013431564320600
9616106722146464
10141531215405440
1141107062426773
1213a59845814994
1360c844ac485c3
1426d420c5822c0
15115684203ee2a
hex80b8cdd1a180

141531215405440 has 128 divisors (see below), whose sum is σ = 395676139288320. Its totient is φ = 47396499978240.

The previous prime is 141531215405431. The next prime is 141531215405441. The reversal of 141531215405440 is 44504512135141.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 141531215405393 and 141531215405402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141531215405441) 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, 367153746 + ... + 367539025.

It is an arithmetic number, because the mean of its divisors is an integer number (3091219838190).

Almost surely, 2141531215405440 is an apocalyptic number.

141531215405440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141531215405440 is an abundant number, since it is smaller than the sum of its proper divisors (254144923882880).

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

141531215405440 is an equidigital number, since it uses as much as digits as its factorization.

141531215405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734692840 (or 734692828 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 141531215405440 in words is "one hundred forty-one trillion, five hundred thirty-one billion, two hundred fifteen million, four hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 128 140 160 172 215 224 280 301 320 344 430 448 560 602 640 688 860 896 1120 1204 1376 1505 1720 2240 2408 2752 3010 3440 4480 4816 5504 6020 6880 9632 12040 13760 19264 24080 27520 38528 48160 96320 192640 734692771 1469385542 2938771084 3673463855 5142849397 5877542168 7346927710 10285698794 11755084336 14693855420 20571397588 23510168672 25714246985 29387710840 31591789153 41142795176 47020337344 51428493970 58775421680 63183578306 82285590352 94040674688 102856987940 117550843360 126367156612 157958945765 164571180704 205713975880 221142524071 235101686720 252734313224 315917891530 329142361408 411427951760 442285048142 470203373440 505468626448 631835783060 658284722816 822855903520 884570096284 1010937252896 1105712620355 1263671566120 1645711807040 1769140192568 2021874505792 2211425240710 2527343132240 3291423614080 3538280385136 4043749011584 4422850481420 5054686264480 7076560770272 8845700962840 10109372528960 14153121540544 17691401925680 20218745057920 28306243081088 35382803851360 70765607702720 141531215405440